SOLUTION: six students are performing one song each in a jazz vocal recital. two students have repertoires of five numbers and the others have four each prepared. how many different programs

Question 1073337: six students are performing one song each in a jazz vocal recital. two students have repertoires of five numbers and the others have four each prepared. how many different programs are possible without regard to order? Assume that the repertory selections are all unique. The answer is 6400 but how do you get that?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Take one of the students that have repertoires of five numbers.
There are different choices for the number that student will play.
For each of those choices, there will be many programs depending on the choices made for the other students.
Consider the other student with a repertoire of five numbers.
There are different choices for the number that student will play.
With those two students, each playing one piece,
you could make different programs.
The choices multiply.
There are choices for each of the other four students.
Multiplying the number of possible choices for all the students,
you have
.
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