math The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed

Answers

Answer 1

Answer:

2730 ways

Step-by-step explanation:

Given that,

There are 15 eligible candidates for these positions.

The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.

It is a concept based on permutations.

[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]

Put n = 15 and r = 3

[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]

Hence, 2730 ways can the members of the cabinet be appointed


Related Questions

Simplify the following expression:

3b+5-9b-9+6b

Answers

Answer:

3(3+2b)

or

2b +9

Step-by-step explanation:

Answer:

Step-by-step explanation:

3b+5-9b-9+6b

=3b+6b-9b+5-9=-4

The basketball team went out for pizza after their championship game.
The total bill was $125. The tax rate was 7%. The coach left a 25% tip for the waitress because she worked very hard serving all of the kids.
Determine the total bill.

Answers

Answer:

$165

Step-by-step explanation:

Find what 7% of $125 is. (Multiply 125 times .07)

Find what 25% of 125 is (Multiply 125 times .25)

Add everything together

You get an answer of $165

Hope I helped!! :)

Pls mark brainliest!!!

Does this procedure describe a completely randomized design for this experiment?

Answers

Answer:

Yes

Step-by-step explanation:

Can somebody help me on this ?

Answers

Answer:

drag the protactor so that the the bottom, middle line is centered in point B, and the bottom edge is flat against line BC

the angle will be whatever number AB lines up with on the outer ring (the big numbers)

Step-by-step explanation:

HELLLLLLPPPPPPPP plz need rest

Answers

Answer:

x = 5

Step-by-step explanation:

The opposite sides of a parallelogram must be parallel to each other, and this is shown by the equivalent opposite interior angles on each side of the bisector.

Since the opposite sides of a parallelogram are parallel, they must be of equal length (this is one of the fundamental properties of a parallelogram).

Therefore, we can set (18x - 5) and (16x + 5) equal to each other in an equation and solve for x.

18x - 5 = 16x + 5

Subtract 16x from both sides.

2x - 5 = 5

Add 5 to both sides.

2x = 10

Divide both sides by 2.

x = 5

The value of 5 for x must make ABCD a parallelogram.

The 7th grade basketball team has won 15 games out of the 20 games they have played this season. If they were to keep up this winning ratio, what is the probability they will win their next game?

Answers

Answer: 3/4

Step-by-step explanation:

Please Help ASAP!! ❤️ ​

Answers

Answer:

Step-by-step explanation:

*a is 6:55

*b is 37

*c is 15:12

Which algebraic expression is not equivalent to 13x + 10? A 10(x + 1) + 3x B. 4x + 3 + 8x + 7 C. 13 + 2x + 3x – 3 + 8x D. 20x-2 - 7x + 12​

Answers

Answer:

B is the answer

Try all and see for yourself

Helppppppppppp me i need the answer

Answers

Answer:

Step-by-step explanation:

i think its embryonic

A triangle has one angle that measures 42°. Which of the following could be the measures of the other two angles?(1 point) 54° and 84° 42° and 42° 90° and 58° 102° and 216°

Answers

Answer:

54° and 84°

Step-by-step explanation:

i just took test

URGENT PLEASE!!!!!!!!!!!!

Answers

Answer:

i got 178

Step-by-step explanation:

Answer:

its x=16 :)))

Abjejwjjdjejwjdhhrigvhhyrwwtiij itessfjhvxx

Answers

sjdjdkzjdkdncmdkdjfnkrmd, sjdjdjdjd dkdkcekdkdk djdjjdkdjdj ..

In 1992, there were approximately 141 million births and 49 million deaths worldwide. What was the
change in the world's population?

Answers

Answer:

The population increased by 92 million.

Step-by-step explanation:

141 - 49 = 92

10•1/2+(-6)(-3) Simplified in steps

Answers

Answer:

23

Step-by-step explanation:

1)  (10*0.5)+(-6*-3)

2) (5)+(18) (The 18 isn't negative because of the rule that states "A negative and a negative will become positive"

3) 5+18=23

Please help me with this question

Answers

Answer:

5 x 3/4 < 5

2 x 4/3 > 2

6 x 5/5 = 6

4/7 x 1/8 < 4/7

2/5 x 7/7 = 2/5

1/3 x 6/4 > 1/3

α + 4/5 = 3
Solve for a to make the proportion true

Answers

4/15 should be your answer!
Answer:
a=11/5
i think is right

The value of a certain account after t years is given by
B = 600 × 1.2t dollars.
How long will it take for the value of the account to increase to $900? Round your answer to one decimal place.
t =

Answers

Answer:

1.2 years

Step-by-step explanation:

The value of a certain account after t years is given by :

B = 600 × 1.2t dollars ....(1)

We need to find how long will it take for the value of the account to increase to $900 i.e. we need to find the value of t.

Put B = $900 in equation (1).

[tex]900=600\times 1.2t\\\\t=\dfrac{900}{600\times 1.2}\\\\t=1.2\ \text{years }[/tex]

So, it will take 1.2 years of the account to increase to $900.

complete the equation of the line whose slope is -2 and y-intercept is (0,-8)

y= ????​

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

Slope-intercept form is y = mx + b. Slope is m, and y-intercept is b. To do this, we substitute -2 for m and -8 for b. When we do this, we get y = -2x + -8. We can simplify this to y = -2x - 8.

Someone please help me with this!!

Answers

Answer:

Its A

Step-by-step explanation:

The Heyde family went to the zoo. There are 2 adults and 3 children. Admission to the zoo is $22.00 for adults and $15.00 for children. How much did the family spend to enter the zoo?

Answers

Answer:

$89.00

Step-by-step explanation:

(2*22)+(3*15)= 89

(1/2(7x3))^3= plz help

Answers

Answer:

1/2 X 7 X 3 X 3 = 31.5

Step-by-step explanation:

What are the names of these polygons?

Answers

Answer:

1)Quidrilateral

2)Pentagon

Write the equation of the line graphed below. ​

Answers

Answer:

Because the line has no slope, we can define this line very simply as:

y = 3

There are 351 identical plastic chips numbered 1 through 351 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 212

Answers

212/351

or

211/351

cos less than

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

y = 32,000(1.08)x
y = 32,000(0.08)x
y = 34,560(1.08)x
y = 34,560(0.08)x

Answers

Answer:

I THINK UTS A            y = 32,000(1.08)x

Step-by-step explanation:

Answer:

TS A            y = 32,000(1.08)x

Step-by-step explanation:

using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction. ​

Answers

Answer:

First, we can write a fraction as a/b

Where a is the numerator, and b is the denominator.

A proper fraction is a fraction where the numerator is smaller than the denominator.

Using only the given numbers (only once per fraction), some examples of proper fractions are:

3/5

3/8

5/8

3/85

3/58

5/83

5/38

8/35

8/53

You can see that in all of them the denominator is larger than the numerator.

The improper fractions are those where the numerator is equal or larger than the denominator.

The 9 examples using the given numbers are:

5/3

8/5

8/3

35/8

38/5

53/8

58/3

83/5

85/3

Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901 miles,
and his son drove 7,997 miles. Martin drove the rest. How many miles did Martin drive?
Show work.

Answers

Answer:

Martin drove 53,558 miles.

Step-by-step explanation:

If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.

You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?

Answers

Answer: 52

Step-by-step explanation: Friend me and yes that is right!

round 427963 to the nearest thousand

Answers

Answer:

428,000

Step-by-step explanation:

427,963

If the number behind what number you're trying to round is greater than 4 then the number you're rounding goes up once while everything behind it goes to zero. If it's below 5 than the it well stay the same. Ex. Round nearest tenth--> 14--->10  instead of it going up to 20 it stays 10.

427,963

      ^

This number is higher than 4 so the number in front or the thousand mark goes up a number.

428,000

Someone else already answered so I figured I'll tell you how to round it, hope this helps.

please i need help:/

Answers

Answer:

92

Step-by-step explanation:

for each sale, the number of tokens increases by a pattern from 1 sale to 2, the tokens increase by 7. next by 9. next by 11. if this pattern continues, by eaight sales the number of tokens will be 92 tokens

5 -41 tokens

6 - 56 tokens

7 - 73 tokens

8 - 92 tokens

this is my best guess at the problem, if you aren\t working with sequences then this is probably wrong

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