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?

Answer 1

Answer:

2520 ways can he arrange his program.

Step-by-step explanation:

Given : A musician plans to perform 5 selections for a concert. If he can choose from 7 different selections.

To find : How many ways can he arrange his program?  

Solution :

According to question,

We apply permutation as there are 7 different selections and they plan to perform 5 selections for a concert.

So, Number of ways are

$W=^7P_5$

$W=\frac{7!}{(7-5)!}$

$W=\frac{7\times 6\times 5\times 4\times 3\times 2!}{2!}$

$W=7\times 6\times 5\times 4\times 3$

$W=2520$

Therefore, 2520 ways can he arrange his program.

Answer 2

To solve this, simply multiply:

5 x 7 = 35

There are 35 different ways he can arrange his program :)

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)