Question

"During the tryouts for a university pep band, there were 4 trumpet players, 12 drummers, and 7 saxophonists. How many ways can the jazz band be chosen so there are 2 trumpet players, 5 drummers, and 3 saxophonists?"

Answer 1

The ways can the jazz band be selected so there are 2 trumpet players, 5 drummers, and 3 saxophonists is given below .

Explanation:

Let's first do the math with only the trumpet,drummer and saxophonists player.

There are 4 Trumpet Player. There are 4 choices of trumpet players. Which means for each drummer, there are 4 groups of musicians:

T 1 D1S1

T 1 D2S2

and so on

So if there are 4 groups of musicians for each Trumpet ,12 drummer and there are 7 saxophonists , we get 12 groups.

It would be the product of

4T2, 12D5 and 7S3

That is 6*792*35=166,320