In how many ways can 2 singers be selected from 4 who came to an audition?

Solution:

We have to find the number of ways for selecting 2 singers from 4 who came to an audition.

Using combination formula,

\(^{n}C_{r}=\frac{n!}{r!(n-r)!}\)

Here, n = 4 and r = 2

So, \(^{4}C_{2}=\frac{4!}{2!(4-2)!}\)

\(\\^{4}C_{2}=\frac{4!}{2!(2!)}\\=\frac{4\times 3\times 2\times 1}{(2\times 1)(2\times 1)}\\=\frac{4\times 3}{2\times 1}\)

= \(\frac{12}{2}\)

= 6

Therefore, there are 6 different ways of selecting 2 singers from 4 who came to an audition.

In how many ways can 2 singers be selected from 4 who came to an audition?

Summary:

There are 6 different ways of selecting 2 singers from 4 who came to an audition.