Verified Answer :

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: 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.