Question

In how many ways can 3 singers be selected from 5 who came to an audition?. A. 1. B. 10. C. 5. D. 60

Answer 1

Answer:

Answer:

(5 3 ) = 10

Explanation:

This is a combination problem - we don't care about the order in which the singers are selected:

C n , k = ( n k ) = n !

( k ! ) ( n − k ) !  with  n = population ,

k = picks

( 5 3 ) = 10

Step-by-step explanation:

Answer 2

Answer: B. 10

Step-by-step explanation:

Given: The total number of singers who came to an audition= 5

The number of singers need to be selected = 3

The number of ways to select 3 singers from 5 singers is given by using combinations as :-

$^5C_3=\frac{5!}{3!(5-3)!}=\frac{5\times4\times3!}{3!2!}=10$

Hence, the number of ways to select 3 singers from 5 singers who came to an audition is 10.