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Suppose there are 11 freshman, 7 sophomores, 13 juniors, and 15 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions if the president must be a senior and the secretary must be a freshman

Respuesta :

Answer:

7,260 ways

Step-by-step explanation:

Here, we are told that the president must be a senior and the secretary must be a freshman.

Now for the post of President, we have 15 choices to pick from

For the post of secretary, we have 11 choices to pick from

Now the last position, the vice president

Firstly , we have 14 seniors( 1 already president), 10 freshmen(1 already secretary) , 6 sophomores and 13 juniors

So the total number of choices will be;

14 + 10 + 7 + 13 = 44

So the number of ways will be;

44 * 15 * 11 = 7,260 ways

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