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TEA [102]
2 years ago
10

36. in a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president, vice president, and treasu

rer be elected?
Mathematics
1 answer:
viktelen [127]2 years ago
3 0

Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.

The order in which the people are chosen is important, as there are different roles, hence the <em>permutation formula</em> is used.

<h3>What is the permutation formula?</h3>

The number of possible permutations of <u>x elements from a set of n elements</u> is given by:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:

P_{20,3} = \frac{20!}{17!} = 6840

More can be learned about the permutation formula at brainly.com/question/25925367

#SPJ1

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Roman55 [17]

\neq  \lim_{n \to \infty} a_n \pi x_{123} \alphaAnswer:

Step-by-step explanation:

There are 3 boxes. The formula for volume is lxhxw, (length x height x width)

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1 year ago
Here is a situation: I have $5. I save $2 each week. How many weeks do I need to save until I have at least $50? Write the inequ
Irina18 [472]
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3 years ago
ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!! Please do the 2 questions!
sergiy2304 [10]

Answer:

7. 80 miles

8. F

Step-by-step explanation:

7. Jorge leaves 2 hours early, and is going 20 miles per hour. So before Marcos starts going, Jorge has gone 40 miles (2*20). Then, 1 hour later, Jorge is at 60 miles and Marcos is at 40 (because he goes 40 miles per hour in his car). Another hour later, Jorge is at 80 (60+20) and Marcos is at 80 as well (40 + 40). They will both have gone 80 miles when Marcus catches up.

8. You want to get <em>a</em> isolated.

A = h/2(a + b)

First, multiply both sides of the equation by the reciprocal of h/2.

2A/h = a + b

Then, subtract b from both sides.

2A-b/h = a

7 0
2 years ago
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2 years ago
Read 2 more answers
A certain circle can be represented by the following equation. x^2+y^2+6y-72=0 What is the center of this circle ?
jek_recluse [69]

Answer:

(0, -3)

Step-by-step explanation:

Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."

Rearranging x^2+y^2+6y-72=0, we get  x^2 + y^2 + 6y                = 72.

x^2 is already a perfect square.  Focus on rewriting y^2 + 6y as the square of a binomial:  y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:

x^2 + y^2 + 6y + 9  - 9              = 72:

x^2 + (y + 3)^2 = 81

Comparing this to the standard equation of a circle with center at (h, k) and radius r,

(x - h)^2 + (y - k)^2 = r^2.  Then h = 0, k = -3 and r = 9.

The center of the circle is (h, k), or (0, -3).

8 0
3 years ago
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