Question

There are three trombone players and 3 saxophone players in the school band the Director needs two trombone players and one saxophone player for a special performance how many different choices does the Director have

Answer 1

The Director has 18 different choices for selecting two trombone players and one saxophone player.

Step-by-step explanation:

The Director has 3 choices for the first trombone player out of the 3 available trombone players.

After selecting the first trombone player, the Director has 2 choices for the second trombone player out of the remaining 2 available trombone players.

Similarly, the Director has 3 choices for the saxophone player out of the 3 available saxophone players.

Therefore, the total number of different choices the Director has is calculated by multiplying the number of choices for each position: 3 choices for the first trombone player x 2 choices for the second trombone player x 3 choices for the saxophone player = 18 different choices.