Question

A school musical director can select 2 musical plays to present next year. One will be presented in the fall,and one will be presented in the spring. If she has 9 to pick from,how many different possibilities are there?

Answer 1

Hello!

First, let's write some important information contained in the exercise:

• He will ,select 2 musicals,, in a ,total of 9,.

,

• One will be presented in ,fall, and the ,other in the spring,.

So, first, let's think about the musical that will be presented in the fall:

Since the director hasn't made any choices yet, we have 9 options available, right?

Now, about the musical that will be presented in spring:

Note that the director made one choice (fall presentation), so at this moment he can choose between 8 options.

Knowing this, the exercise asks the number of possibilities for the two presentations, we must multiply these possibilities, look at the drawing below:

Answer:

72 different possibilities.