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

An airplane travels 550 miles from North Carolina to Tennessee in 90 minutes. At this rate, how many minutes will it take the airplane to travel 6,600 miles?

Answers

Answer:

It will take 1,080 min or 18 hours

Step-by-step explanation:

Here is why, since 6600 miles is 12 times farther than 550 miles you'd multiply the time it took to go 550 miles by 12 too

Can you guys please with me out with the question please

Answers

Answer:

Team score in first game < 19

Step-by-step explanation:

Point Scored in Third Game =X

Points Scored in First Game = X+6 (6 more than third game)

Points Scored in Second Game = 23

Total Points ={( First Game) +( Second Game) + (Third Game)} < 55

                      { ( X+6) + (23) + (X)} < 55

                       X+29+X < 55

                       2X+29 < 55

                       2X< 55-29

                       2X < 26

                         X <26/2

                         X<13

So the point scored in First game is: (X+6)

Where X < 13

So the point in First game is < 19

A flag measures 150 feet by 75 feet. Find its area​

Answers

Area = length x width

Area = 150 x 75

Area = 11,250 square feet

Answer:

11,250 ft

[tex] {?}^{2} [/tex]

at 6:00 PM it’s 24°F at midnight the temperature was 636°F lower than Apple what will the temperature at midnight

Answers

Answer:

A)12 F.

Step-by-step explanation:

Find the y-intercept, The equation of the x of symmetry and the x-coordinate of the vertex for 12.

Answers

Answer:

0, x=0, (0,0)

Step-by-step explanation:

f(x) =4x²

y-intercept is at (0,0) because there is no term with no variable

axis of symetry is x=0, because is the y-axis

x-coordinate of the vertex is 0 because the vertex is at (0,0)

Answer:

axis of symmetry-x=0

y-int-(0,0)

vertex-(0,0)

Step-by-step explanation:

Math help! Answers???

Answers

Answer: 5.b; 6.a

Step-by-step explanation:

Six comics are to perform on a single evening. Find the probability

Answers

Answer:

1 in 6

Step-by-step explanation:

How can you rewrite the problem so that the divisor is a whole number?
0.21 divided by 17.66

Answers

Answer: 21 divided by 1766

Step-by-step explanation:

just try to remove the decimal points which mean 0.21 to 21 and 17.66 to 1766

Find the x-intercept of each line defined below and compare their values.

Answers

x intercept of line a is (-6,0)

x intercept of line b is (1,0)

The x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Equation of line A

y=-2/3x-4

When y=0

0=-2/3x-4

4=-2/3x

-6=x

So the x intercept for line A is -6.

Let us find equation of line B by using table

Slope = -1

Now let us find y intercept

2=-1(-1)+b

b=3

So equation is y=-x+3

Now let us find the  x intercept

Put y=0

0=-x+3

x=3

(3, 0) is x intercept of line B

Hence, the x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

To learn more on slope of line click:

https://brainly.com/question/16180119

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What is the probability that a coin tossed in the air will land heads up? 25% 50% 75% 100%

Answers

Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation: the normal probability is 1/2 sooo it translates to 50/100 which is 50%

The parallelogram shown bellow has an area of 15 units over 2

Answers

Answer:

The value of h is [tex]\frac{5}{2}[/tex] units

Step-by-step explanation:

In any parallelogram, there are two different pair of bases b1, b2 and their corresponding heights h1, h2, where h1 ⊥ b1 and h2 ⊥ b2The area of parallelogram = b1 × h1 OR b2 × h2

In the given figure

∵ Every two opposite sides of the parallelogram are equal

∴ The length of the base of the height h is 3 units

∵ The area of the parallelogram = [tex]\frac{15}{2}[/tex] units

∵ Area of parallelogram = b × h

→ Substitute the values of the area and the base in the rule above

∴ [tex]\frac{15}{2}[/tex] = 3 × h

∴ [tex]\frac{15}{2}[/tex] = 3h

→ Divide both sides by 3 to find h

∵  [tex]\frac{15}{2}[/tex] ÷ 3 = 3h ÷ 3

∴ [tex]\frac{15}{6}[/tex] = h

→ Simplify the fraction by divide up and down by 3 and switch the 2 sides

h = [tex]\frac{5}{2}[/tex] units

6. Melanie put $1500 into an account 2 years later the account was worth $1700.
What was the interest rate of the investment?
(8 Points)
6.67%
8.089
17. 196
44.796

Answers

its 44.796 ur welcome my guy

Find the value of 6.8 +9.2

Answers

Answer:

16

Step-by-step explanation:

6.8

+9.2

______

16

Hope I helped!

Answer:

16

Step-by-step explanation:

• The packages of henna powder cost $12 each and the squeeze
bottles cost $3 each. What is Sushmila's total cost for the supplies?

Answers

Answer:

Step-by-step explanation:

If she is just buying one henna package and one squeeze bottles the total is 12 + 3 which is 15

Answer:

27

Step-by-step explanation:

I got it right

Evan's favourite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate.
How long did Evan spend making paper cranes today?

Answers

Answer:

it took him 3 hours

Step-by-step explanation:

28 divideed by 4= 7

21divided by 7=3

How can we multiply fractions

Answers

Answer:

There are three simple steps...

Step-by-step explanation:

Step 1: Multiply the numerators from each fraction by each other (the numbers on top). The result is the numerator of the answer.

Step 2: Multiply the denominators of each fraction by each other (the numbers on the bottom).

Step 3: Simplify or reduce the answer.

1. The sum of 6 and the quotient of a number and 4 is 10.

Answers

Step-by-step explanation:

20÷4=20/4=5 is the quotient I'm pretty sure

Answer:

34                       Sorry if im kinda late

Step-by-step explanation

The equation is 6+x/4=10. now we figure out what x=? there are a lot of ways to figure out the answer this is what im gonna do first figure out what divided by 4 equals 10. multiply 10 times 4 you get 40 which means 40 divided by 4 equals 10 now subtract 6 from 40 and you get 34.

Please mark brainliest.

After birth, a baby's weight increased at a steady rate for several weeks.

A linear model of this situation contains the values (1, 7.3) and (9, 9.7), where x represents the number of weeks, and y represents the baby's weight, in pounds.

What was the baby's weight at birth?
A.
8 pounds
B.
7.3 pounds
C.
0.3 of a pound
D.
7 pounds

Answers

Answer:

c

Step-by-step explanation:

i really dont know pls help PAHAHA

The baby's weight at the birth of the baby was 7 pounds.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that a linear model of this situation contains the values (1, 7.3) and (9, 9.7), where [x] represents the number of weeks, and [y] represents the baby's weight, in pounds.

Assume the equation of the line in slope - intercept form is -

y = mx + c

Now -

m = (9.7 - 7.3)/(9 - 1)

m = 2.4/8

m = 0.3

The equation will be -

y = 0.3x + c

For the point - (1, 7.3), we can write -

7.3 = 0.3 x 1 + c

c = 7.3 - 0.3

c = 7

Therefore, the baby's weight at the birth of the baby was 7 pounds.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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The difference of 9 and three times a number is that number increased by 5. Find the number. just give me the equation

Answers

Answer:

9-3n=n+5

Step-by-step explanation:

n= the number

A checking account is overdrawn if it has a
negative balance. Marc's account is overdrawn by
$45. What will the balance be after he deposits
$170 and writes a check for $59?

Answers

Answer:

64.

Step-by-step explanation:

170 - 59 = 109

109 - 45 = 64

or do

59 + 45 = 104

104 - 170 = 64

Answer: it’s 66

Step-by-step explanation:

The original price of a shirt was 20$. It decreased to 15$. what is the percent decrease of thee price of this shirt ?

Answers

5 dollars off of $20 would be 25%.

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

D

Step-by-step explanation:

1 1/8 +3/4= 1 7/8

3- 1 7/8

= 1 1/8

Answer:

D

Step-by-step explanation:

123456789101112131415

an integer divided from an integer is an integer

Answers

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Factor using the identity:
a3 + b3 = (a + b)(a? - ab + b2)
Z3+8

Answers

Is this by chance what you are looking for? I’m a little confused as to what you are asking lol

I had plugged z^3 + 8 into the (a^3 + b^3) and got that but I don’t wanna tell you this would be completely correct

ljfehhgsdddzcSDJCHjgsDdlhfcgadscbsdhcSDMlnSBDZx

Answers

Answer:

?

Step-by-step explanation:

Given: AB ∩ CD = O, m∠NOD = x,m∠AON = 44º, m∠BOC = 102º.
Find: x.

Answers

Answer:

x= 58

Step-by-step explanation:

minus 44 from 102

) Use a generating function for modeling the number of different election outcomes in an election for class president if 25 students are voting among four candidates. Which coefficient do we want

Answers

Answer:

The answer is "[tex]x^{25}[/tex]"

Step-by-step explanation:

In four candidates, student participants are voting.  

For design the range of votes, it must employ a dividend growth.

Total students = 25  

Total choices to vote = 4

The role generation is: [tex]G(x) = (1 + x+x^2 + ....+ x^{25})^4[/tex]  

In order to obtain the various results, they need to analyze the term coefficient [tex]x^{25}[/tex].

Can anyone help me find the value of x of this mid segment triangle?

Answers

Answer:

Step-by-step explanation:

You have the correct answer. The sides are cut in half. 16 and x are in the same ratio 2:1

16 / 8 = 2:1

5. A boy owns 2 pairs of pants, 8 shirts, 6 ties, and 7 jackets. How many different outfits can he wear to school if he must wear one of each item?
He can wear _________ different outfits.

Answers

Answer:

672

Step-by-step explanation:

3. Lisa's checking account charges her a $35 overdraft fee plus the purchase amount
for each purchase that cause her account balance to go below or stay below $0.
On Monday, her account balance was only $40. She made the following purchases
in order:
$25 on a gift for her friend
$10 on fast food
$37 on groceries
$15 on gas
She then deposited a $650 check into her account.
What is her new account balance? IS
(8 Points)
5498
$533
$568
$603

Answers

Her new balance will be $603
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