A class consists of 20 sophomores and 15 freshmen. The club needs to choose four different members to be president, vice president, secretary, and treasurer. In how many ways is this possible if sophomores will be chosen as president and treasurer and freshmen as vice president and secretary?
Please explain your answer instead of just providing the answer for the points!

Answers

Answer 1

Answer:

There are 79,800 ways in which this is possible.

Step-by-step explanation:

The order in which the students are chosen is important(due to different roles), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

2 sophomores from a set of 20.

2 freshmen from a set of 15. So

[tex]P_{20,2}*P_{15,2} = \frac{20!}{18!}*\frac{15!}{13!} = 20*19*15*14 = 79800[/tex]

There are 79,800 ways in which this is possible.


Related Questions

PLS HELPPPPPP OMG PLSSSSSSSSSSSSSS LOOK AT PHOTO PLSSSS HELPPP

Answers

Answer: B

Step-by-step explanation: The line crosses the Y axis at 3

One number is three less than another number. Their product is 40. Find the numbers.

Answers

Answer:8 and 5

Step-by-step explanation:8 times 5 is 40 and 5 is 3 less than 8

a submarine is at the surface of the ocean, preparing to dive. it submerges and dives -993 ft. then it ascends 308 ft to avoid hitting an undersea cliff. what integer represents the submarines position in ft after it ascends to avoid the cliff?
A. 1,301
B. 685
C. -1,301
D. -685​

Answers

Answer:

[tex]\text{D. -685}[/tex]

Step-by-step explanation:

Let the submarine's initial position be 0. After diving 993 feet, its position will be -993 ft. The submarine then ascends 308 feet, meaning its final position will be [tex]-993+308=\boxed{-685}[/tex].

It would be nice if someone helped!
Thank you I’m advanced

Answers

Answer: 243 inches squared.

Step-by-step explanation: I could be wrong but here's my answer

8. If KITE is a kite, find the value of x and y.

A)x=5, y=5
B)x=3, y=5
C)x=8, y=3
D)x=3, y=8

Answers

Answer:

x = 3; y = 8

Step-by-step explanation:

Sides KI and KE are congruent.

4x = 12

x = 3

Sides IT and ET are congruent.

3y - 4 = 20

3y = 24

y = 8

Answer: x = 3; y = 8

Can somebody help me

Answers

(-5,-1) is the answer. Sorry other people are being mean.

if you answers this question correctly i'll give you brainliest

Answers

I believe it would be C

Answer:

D. Both of the dot A and B have the same mean

Single Factor ANOVA is a method we use when we want to compare a quantitative variable among more than two categories.

a. True
b. False

Answers

Answer:

The given statement is "True".

Step-by-step explanation:

A statistical analytical technique that divides the perceived aggregate unpredictability present throughout an information source even further into 2 components.

Systemic components Random components

If relevant information yet another category independent variable, as well as another quantifiable variable of interest, has been obtained, are using a single-way ANOVA.

Thus the above is the true answer.

I need help so I can helpl my grandson to pass this quz please and thank you
its in the download pdf.

Answers

Answer:

Sorry about the last time this time I could find the images!

First problem: 120

Second problem: I believe its 140 but I dont know for sure so answer that at your own risk please

Third problem: same for this one I think it's 40

Fourth problem: 2160

What’s it the correct answer? I will mark as brainlest

Answers

Answer:

Step-by-step explanation:

(216/4)-20+3(5)

(54)-20+15

34+15 = 49

option 1

Answer:

49

Step-by-step explanation:

(6³ / 4) - 4 * 5 + 3(7 - 2)

= (216 / 4) - 20 + 3 * 5

= (216 / 4) - 20 + 15

= 54 - 20 + 15

= 34 + 15

= 49

Hope it helps


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

increasing

Step-by-step explanation:

Three divided by one-fourth

Answers

Answer:

3 divided by 3/4 is 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3÷1/4

3×4

12

I hope this helps.

Help set up the equation :D the answer in the answer box is wrong

Answers

X=3.4
Y=10 if that not right then switch x=10
Y=3.4

find the degree measure of angle HRP?

Answers

Answer: HRP = 40°

Explanation:

Angle EPN = 40°

But EPN = HRP (corresponding angle)

Because EP//HR

Therefore EPN = HRP = 40°
The answer is going to be 40 degrees

Now that Joseph finally has his own bike, he plans to take good care of it. His local bike store recommends using about a teaspoon of oil to clean the chain every 300 miles. If Joseph rides an average of 200 miles per month, how many months should he expect a 4-fluid-ounce bottle of oil to last?

Answers

The oil should last about 36 months

Answer:

The answer is 36

Step-by-step explanation:

A billboard is 5.0 m by 2.5 m. A scale diagram of the billboard is 0.25 m by
0.125 m.
a.
1:
Calculate the scale.
b. Calculate the scale factor (k).
c.
Is this a reduction or enlargement? Justify your thinking.
Pls help

Answers

Answer:

A the answer is a because i was just working on that rn

Step-by-step explanation:

What is the value of 0.5–0.05? Write your answer as a fraction in lowest terms.

Answers

Answer:

Heyaaa!!! I'm Pinky!! And i'm here to inform you that you're answer is...

Step-by-step explanation:

!!!

                                                           

0.5–0.05= 0.45

0.45 In fraction form is Simply:

        9/20   (And that's on lowest terms!)

If you would want it in percentage form to that would simply be:

                                                 45%

    Have A Nice Day!!!!

 ~Pinky~

The value of 0.5–0.05 is a fraction in the lowest terms = 9/20.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written as the form of p: q, which is equivalent to p / q.

The given expression is: 0.5–0.05

Subtract 0.05 from  0.05

0 . 5 0

-0.  0 5

0 . 4 5

So, 0.5–0.05 = 0.45

Multiply and divide by 100 we get,

[tex]0.45\times \dfrac{100}{100} = \dfrac{45}{100}[/tex]

Divide both the numerator and denominator by 5 we get,

[tex]\dfrac{45}{100} = \dfrac{9}{20}[/tex]

Hence,

0.5–0.05 in the lowest fraction is 9/20.

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

(05.02)A farmer has decided to divide his land area in half in order to plant soy and corn Calculate the area of the entire area so he knows how much soil is needed. SOY #6 yards 6 yards CORN 2.5 yards 6.5 yards Each bag of soil covers 15 Square yards. How many bags should the farmer purchase? 0 1 bag O2 bags O 3 bags 4 bags​

Answers

9514 1404 393

Answer:

  4 bags -- the correct answer is marked

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

where b is the base length and h is the height.

Here, the base is the sum of lengths 2.5 yd and 6.5 yd. The height is given as 6 yd. So, the area is ...

  A = (2.5 yd + 6.5 yd)(6 yd) = 54 yd²

At 15 yd² per bag, the farmer will need ...

  (54 yd²)/(15 yd²/bag) = 3 3/5 bags

Assuming the farmer can purchase only whole bags, the farmer should purchase 4 bags of soil.

The farmer should purchase 4 bags.

The area of the land is 54 square yards ((6.5+2.5)*6=54). To find out how many bags he’ll need, you want to divide the area by how much a bag of soil covers (54/15=3.6), and then you’ll round up to ensure he’ll have enough (3.6 becomes 4)

Write in standard form: 30,000.000 + 40,000 + 6,000 + 20 + 2

Answers

Answer:

[tex]3.0046022*10^{7} \\[/tex]

Step-by-step explanation:

30,046,022 = [tex]3.0046022*10^{7} \\[/tex]

In this activity, you will analyze a data set and answer some questions about the data. Warren works as a salesman at a used-car dealership. He maintains a log to track the number of vehicles he sells each day. Warren is paid a commission for each car he sells. He needs to know how many cars he sold last month so he can calculate his commission. The table shows the data he has recorded in the log book for the month.
please help

Answers

This answer will be 17

Answer: the answer is 17..hope this helps yall :D

Step-by-step explanation:

4/5+ 2/3 =? pls help i'm.in 5th grade

Answers

Answer:

2/15

Step-by-step explanation:

What is the value of f(-10) if f(x) = 4x - 12?​

Answers

F(-10) means the x value in the equation is -10.

Replace x with -10 and solve:

4(-10) -12 = -40 - 12 = -52

F(-10) = -52

Answer: -52

How to: Use the given functions to set up and simplify f ( − 10 ) .

Have a great day and stay safe ! sorry if im wrong

Which equation is true?

Answers

Answer:

9 × 8 = 8 × 9 equation is true

use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary. 25+5+1+… formula for a converging infinite series. a1 is the first term and r is the common ratio. 

Answers

Answer:

5x+12=-14=180

Step-by-step explanation:

sdvasdfasdfasdfawsdfasd

Answer:

the answer would be 31.25

Step-by-step explanation:

a1=25

r=.2

25/1-.2=31.25

What value of X makes the equation true -7x - (-5-x) = -9(2x-1) -1

Answers

Answer:

x = 1/4

Step-by-step explanation:

-7x - (-5-x) = -9(2x-1) -1

-7x + 5 + x = -18x + 9 - 1

combine like terms:

-6x + 5 = -18x + 8

add 18x to each side of the equation:

12x + 5 = 8

subtract 5 from each side:

12x = 3

divide both sides by 12:

x = 3/12 = 1/4

Can u help me please I will mark u brilliant

Answers

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

ANSWER THIS ASAP NO FILE AT ATT!! THIS MY LAST QUESTION JUST GET IT RIGHT PLEASE

Answers

Answer:

I believe the answer is A

Answer:

A is your answer I think

Step-by-step explanation:

maybe wait for someone else to answer as well haha

Write the equation of a parabola in conic form with a focus at (-2,-7) and a directrix at y=-1

Need help with this

Answers

Answer:

(-2-h)^2+(-7-k)^2=r^2

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 this is the normal equation now u just need to substitue those in it

6. One week, Sam wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Sam's bank accountant that week?​

Answers

Answer: - $6.75

Step-by-step explanation:

Please see attachment

Answers

Answer:

Relation 1: Not a function

Relation 2: Not a function

Relation 3: Function

Relation 4: Not a function

Step-by-step explanation:

Recall: a relation can only be a function if and only if each domain value has only 1 range value mapped to it or related to it. This means that a domain value can only have exactly one range value for the relation to be qualified a function.

✔️Relation 1 is NOT A FUNCTION.

Rationale: Two of the domain values (star and sky) is having more than 1 range value assigned to each.

✔️Relation 2 is NOT A FUNCTION:

Rationale: domain value, 9, has several range values assigned to it.

✔️Relation 3 is A FUNCTION:

Rationale: each domain value do not have more than one range values assigned to it.

✔️Relation 4 IS NOT A FUNCTION:

Rationale: the domain value, 6, has two range values, m and d, assigned to it.

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