Question

How many different ways can a director select 4 actors from a group of 20 actors to attend a work shop on performing in rock musicals?

Answer 1

The director can select 4 actors from a group of 20 actors to attend the workshop in 4845 different ways.

Step-by-step explanation:

In this question, we need to find the number of different ways a director can select 4 actors from a group of 20 actors to attend a workshop on performing in rock musicals. This is a combination problem as the order of selection does not matter. To find the answer, we can use the combination formula:

Combination = nCr = n! / r!(n-r)!

Plugging in the values, we get:

Combination = 20C4 = 20! / (4! * (20-4)!) = 4845

Therefore, there are 4845 different ways a director can select 4 actors from a group of 20 actors to attend the workshop.