SOLUTION: A class contains 13 boys and 15girls .how many different ways can the class pick a president,vice-president and secretary?

Question 245890: A class contains 13 boys and 15girls .how many different ways can the class pick a president,vice-president and secretary?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

That would depend on whether, as your introductory sentence would imply, that you are asking how many gender permutations are possible or if you want the number of permutations of 28 individual people.

If you are only concerned with gender, there are two ways (boy or girl) to select the president. For each of these two ways there are two ways to select the vice-president, for a total of four ways. And finally, for each of these four ways there are two ways to select the secretary for a grand total of 8 ways.

On the other hand, if you are concerned with permutations of individuals, then there are 28 ways to select the president, then for each of those ways, there are 27 ways to select the vice-president (one less because you would presume that the president and vice-president need to be two different people), so 28 times 27. Then for each of those ways there are 26 ways to select the secretary.

So:

John

RELATED QUESTIONS
In how many different ways can a president, vice president and secretary be elected from... (answered by jorel1380)

In how many ways can a president, vice president and secretary be chosen from a class of... (answered by stanbon)

In how many ways can a president, vice president, and secretary be randomly selected from (answered by ewatrrr)

In how many ways can a president, vice president, and secretary be chosen from a class of (answered by ikleyn)

In how many ways can a president, vice-president, and secretary be chosen from a class of (answered by math_helper)

How many ways can a president and vice-president and vice-president be selected in a... (answered by stanbon)

how many different ways can a president, cie president, and secretary be chosen from a... (answered by checkley77)

A class has 12 students. How many ways can a president and vice president be chosen? (answered by checkley79)

A certain class has 8 boys and 10 girls. How many different sets of four class... (answered by ramkikk66)