Question

A musician plans to perform 5 selections for a concert. If he can choose from 7 different selections, how many ways can he arrange his program?A. 2,520B. 6,720C. 15,210D. 35

Answer 1

To solve the present problem we can just use a formula use the following strategy:

For the first choice, there are 7 possibilities (all the 7). For the second choice, there are 6 possibilities (all the 7 less the first already chosen). For the third choice 5, then 4, and 3. From this, we know that the number of possible arranges is the multiplication of these numbers.

`\begin{gathered} N=7*6*5*4*3 \\ \\ N=2,520 \end{gathered}`

Because the order is something thar is important, we concluded that the correct answer is: A. 2,520