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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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Negative 15 plus 45 divided by 3
Furkat [3]

Answer:

10

Step-by-step explanation:

(-15+45)/3=10

3 0
3 years ago
Which point is on the line that passes through (0,6) and is parallel to the given line? plzz helppp!
Grace [21]

Points on given line = (-12,-2) and (0,-4) because you can see them on the graph.  Then draw a parallel line thru (0,6)

To get from (0,-4) to (0,6) your x stays constant and your y coordinate increased by 10.  So your new point will do the same in relation to (-12,-2)  the x will stay constant at -12 and your y will increase by 10 to +8.  

So the answer is A (-12,8)

You can check this because parallel lines have the same slope so

y2-y1/x2-x1 should be equal for both lines.

Line 1:  -4 - (-2) / 0 - (-12) = -2/12 = -1/6

Line 2:  6 - 8 / 0 - (-12) = -2/12 = -1/6


5 0
3 years ago
5 + a &lt; 5 true or false
Irina-Kira [14]

Answer:false


Step-by-step explanation:


3 0
3 years ago
Angles A and B are complementary. Two separate angles are shown. Angle A is (x + 22) degrees. Angle B is x degrees. What is the
HACTEHA [7]

Answer: 34

Step-by-step explanation:

(x+22) + x = 90

8 0
3 years ago
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Y’all i’m stuck help me
Tamiku [17]
<h3>Answer: Choice E</h3>

======================================================

Explanation:

Think of 25 as 25/1 and 5 as 5/1

Choice E is really saying \frac{25}{1} \div \frac{5}{1} which becomes \frac{25}{1} \times \frac{1}{5}. Note the second fraction flips and we change to a multiplication sign.

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

Or you could think of it like this:

25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5

to help see why the answer is E.

4 0
3 years ago
Read 2 more answers
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