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:
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.