A jar contains 20 yellow jellybeans, 20 orange jellybeans, 20 red jellybeans and 20 green jellybeans.

Required:
a. In how many ways can you put all the jellybeans in a row?
b. How many ways are there to select a handful of 20 jellybeans?
c. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red?
d. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange?

Answers

Answer 1

Answer:

A)

[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]

B)

[tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]

C)

= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]

D)

= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]

Step-by-step explanation:

A) How many ways can you put all Jellybeans in a row

Total number of Jellybeans = 80

The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans

Therefore the number of ways the Jellybeans can be put in a row is :

[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]

B) How many ways are there to select a handful of 20 jellybeans

lets assume:

yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d

a + b + c + d = 20

This is the number Non-negative integer solutions

= [tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]

C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3

hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red

= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]

D) In this case the value of C ≥ 3 and B ≤ 2

Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange

= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]


Related Questions

plssss helllppppp due soon

Answers

Answer:

B

Step-by-step explanation:

hope u got it!.............

Solve the equation 6x2 – 8x + 1 = x + 4 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator. Order your answers from least to greatest, and round to the nearest hundredth.

Answers

Answer:

-0.28, 1.78

Step-by-step explanation:

Plug it into a graphing calculator and see you have -0.281 as a intersection as well as 1.781. Then you round to the nearest hundred and get -0.28 and 1.78.

Mrs.Rodriquez is purchasing trophies for each child that plays little league she wants to spend no more than $7.00 per thropy ​

Answers

Answer:

7 trophies for $49.00

5 trophies for $30.00

-----------------------------------

Explination:

It says that she wants to pay no more than 7 dollars for each trophy she buys, which means 7 and less. So we have to multiply 7 x the number of trophies, And if it gives you the excact number or less its correct.

So we multiply

7 x 7 = 49 (The excact number, correct)

9 x 7 = 63 (The price they are selling it at is higher, incorrect)

12 x 7 = 84 (The price they are selling it at is higher, incorrect)

5 x 7 = 35 (Paying less, Correct)

3 x 7 (The price they are selling it at is higher, incorrect)

---------------------------------------------------------------------------------------

Its really easy if you put your mind into it! Goodluck <3

Jesse deposits $4,000 into an account that earns 1.5% Simple Interest. He leaves it in
there for 3 years. How much interest will he earn?

Answers

1.5% of 4,000$ is 60$ . 60$ times 3 years = 180$

Need help don’t understand

Answers

Answer:it’s asking what is the square root of -8 multiplied by the square root of 24

Step-by-step explanation: just find the square root of each on google then multiply the two answers to get the final answer :)

hello please help will give brainliest! Thanks.

Answers

Answer:

C

Step-by-step explanation:

a=l*w

a/w=l

in C it would be 3/5 / 1/2 so it's c

MARK BRAINLIEST PLS

A(4, -1), B(3, 8), C(-1, 1); y = -2

Answers

Answer:

Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

I added an image down below of what the reflection looks like. Sometimes it helps to see things visually.

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line y = -2

Hope this helped!

The graph of y<3x+5 is the half plane below the line y=3x+5. True or False?

Answers

the answers is false lmk

thankyou! the answer was wrong you saved me.

Answers

Answer:

hey

Step-by-step explanation:

$24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed)

Answers

2.75/100=0.0275
= 24000 x ( 1 + 0.0275 ) ^ 4= 26750.91
26750.91 - 24000 = 2750.90
i’m sorry if it’s wrong

Answer:

(Use the attached formula)

24,000 for 4 years (48 months) at 2.75% interest

We divide rate by 1,200 which equals 0.0022916667

Monthly Payment = 0.0022916667 + {(0.0022916667 / [(1.0022916667)^48 -1]} * 24,000

Monthly Payment = 0.0022916667 + (0.0022916667 /  (1.1161375981  -1) * 24,000

Monthly Payment = [0.0022916667 + (0.0022916667 /  0.1161375981 ] * 24,000

Monthly Payment = [0.0022916667 +  0.0197323411 ] *24,000

Monthly Payment = 0.0220240078  * 24,000

Monthly Payment = 528.5761872  = 528.58 (rounded)

Step-by-step explanation:

What is the area of the rectangle written in simplest form

Answers

Answer:

option D

Step-by-step explanation:

5/6 x 4/6

Multiply the numerators only.

it will give you--> 20/6

You can simplify this down by dividing 20 by 6 giving you 3 remainder 2

Putting this in fraction form would give you 32/6 which can be simplified to

3 1/3 ft^2

Please help me solve this! x^2-4x-21 as a product of binomial factors

Answers

Answer:

( x-7) (x+3)

Step-by-step explanation:multiply to -21 and add to -4

-7 * 3 = -21

-7+3 = -4

( x-7) (x+3)

PICTURE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

Because WY⊥YZ and WY⊥WV ⇒ WV║YZ ⇒ ∠YZX ≅ ∠WVX ⇒ ΔXWV ~ ΔXYZ (AAA similarity theorem)

Cara can ride her bike 6 miles in 24 minutes. Which ratio shows the number of miles to minutes Cara can ride her bike?

Answers

Answer:

1:4

Step-by-step explanation:

24/2=12

6/2=3

12/3=4

3/3=1

So the ratio is 1:4

What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.

Answers

Answer:

D) its domain is between -1 and 1

Step-by-step explanation:

cos is actually an even function, and it has a period of 2π.

Sine has a graph symmetric about the y-axis, not cosine.

Answer:

C.  Its graph is symmetric about the y-axis.

Step-by-step explanation:

If you graph on desmos it shows that it is symmetric about the y-axis :)

You move down 2 units and right 3 units. You end at (5,-5). Where did you start? On a coordinate plane plz need one more

Answers

Answer:

(2, -3)

Step-by-step explanation:

if move down 2 units, then y needs to move up 2 units

if move right 3 units, then x needs to move left 3 units  

(5-3, -5+2)

(2, -3)

How many times greater is the value of digit 1 in 21,648 than in 32,163?

Answers

Answer:

squirrel

Step-by-step explanation:

squirrel

Answer:

10

Step-by-step explanation:

Which of the following values are solutions to the inequality 1 < 4x-3

Answers

Answer:

x>1 (inequality form)

(1,∞)

Step-by-step explanation:

Hope this helped :)

Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right triangle. The length of the hypotenuse is 12. a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B. Round your answers to four decimal places.

Answers

Answer:

27

Step-by-step explanation:

2 TIMES 3

The length of the side a and b is 2.0837 and 11.8176 respectively.

Length of side a and b to be determine, hypotenuse is 12 and a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B.

What is trigonometry?

Trigonometry is branch of mathematics that helps in elevation and angle problems.

Let assume that one angle of triangle is right angle.
So in right angles triangle,
hypotenuse = 12
cos10 =  length of b /12
length of b = 12 cos10
length of b = 11.8176

Now,
sin 10 =length of a/ 12
length of a = 12 sin10
length of a = 2.0837

Thus, the length of the side a and b is 2.0837 and 11.8176 respectively.

Learn more about trigonometry here:
https://brainly.com/question/26719838

#SPJ2

What’s the answer for r

Answers

Answer:

can you show a picture :)

Where is the picture

What is the distance of line segment AD given the following points, A = -7, B = 5, C = 8, and D = 14?

Answers

Answer:

21

Step-by-step explanation:

Since exact coordinates aren't given, you would have to think of the two points on a number line. The distance from the two points on a number line would be 21. You could also add the absolute values of the two points together. This would basically turn -7 into a positive, and then when the absolute values are added(7 + 14), you would get 21.

f(x) = 3x +5
Find f(-4)

Answers

Answer:

f(-4) = -7

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 5

f(-4) is x = -4

Step 2: Solve

Substitute:                    f(-4) = 3(-4) + 5Multiply:                        f(-4) = -12 + 5Add:                              f(-4) = -7

I WILL MARK BRAINIEST

Answers

Answer:

Angle X=30°

2x=60°

Step-by-step explanation:

X+2X=90°

3x=90°

X=90/3

X=30°

Angle X=30°

2x=60°

A number less than 85 has 26 and 6 as a factor what is my number

Answers

First, write out the multiples of 6 and 26. Then find the common multiple they share that is immediately less than 85. (I do 26 first since it will have less multiple and it will give me an idea of what to look for within the multiples for 6)

26: 26, 52, 78 (anything more will be over 85 and we need a number less than 85)

6: 6, 12, 18, 24, 30, 36, 42, 48, 56, 72, 78 (I stopped at 78 since any number after this will be larger than 85)

I now look to find the multiple that both 26 & 6 shares that is also less than 85 and it landed me on the number 78!

The Answer: 78

Hope this helps!

PLEASE HELP ASAP!!!!

Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept

Answers

Answer:

19) slope=2  y-intercept is 1   equation is y=2x+1

20) slope=-4  y-intercept is 4   equation is y=-4x+4

21) slope=-1/3  y-intercept is -5   equation is y=-1/3x-5

22) slope=-2/3  y-intercept is -5   equation is y=-2/3x-5

23) slope=-8  y-intercept is is -4   equation is y=-8x-4

24) slope=5  y-intercept is -3   equation is y=5x-3

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

HELP ME PLEASEEEEEEEEEEEEEEEEEEEE

Answers

Answer:AHope this helps!!

How do you evaluate 7!

Answers

7! Means 7x6x5x4x3x2x1. This means the answer is 5040

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

Select the point that satisfies ys x2 - 4x + 2.
O A. (2, 2)
O B. (1,1)
C. (5,5)
O D. (4,4)

Answers

Answer:

A

Step-by-step explanation:

(2.3x10^4) x ( 1.5x 10^-2

Answers

Answer: 345

Hope it helped!

Answer is : 345




You welcome :)



Can someone help me with this math problem. The slope is 15 and the y-intercept is 10

Answers

Answer:

The equation of the line is y = 15x + 10. You can use Desmos to graph it.

Step-by-step explanation:

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