Answer: 2730
Step-by-step explanation:
Given : The number of applicants =15
The number of posts for which candidates have been applied = 3
To find the number of selections we use permutations since here order matters.
The permutations of n things taking m at a time is given by :-
[tex]^nP_m=\dfrac{n!}{(n-m)!}[/tex]
Then , the required number of ways is given by [Put n = 15 and m = 3] :-
[tex]^{15}P_3=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15\times14\times13\times12!}{12!}\\\\15\times14\times13=2730[/tex]
Hence, the number of ways the selection can be made = 2730
