Its A
This is the number of combinations of 3 from 8
= (*8*7*6) / (3*2*1)
= 56
Answer: B. 336
Step-by-step explanation:
Given : Eight people audition for a choir.
The choir director must choose one soprano, one alto, and one tenor.
i.e. 3 positions have to be chosen.
In this situation , we use permutations ( where order matters ).
The number of permutations of r things taken from n things is given by :-
[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]
Similarly , the number of ways to choose 3 persons from 8 persons by director fill three positions =
[tex]^8P_3=\dfrac{8!}{(8-3)!}\\\\=\dfrac{8\times7\times6\times5!}{5!}\\\\=8\times7\times6=336[/tex]
Hence, the number of ways can the director fill these positions = 336
Thus , the correct answer is B. 336 .
