A company has 31 salespeople. A board member at the company asks for a list of the top 4 salespeople, ranked in order of effecti

Question

3 years ago

8

veness. How many such rankings are possible?

1 answer:

kvv77 [185] · Answer 1 · 2022-10-21T15:21:45+03:00

Answer:

31465 ways

Step-by-step explanation:

Given data

Let us apply the combination formula

nCr = n! / r! * (n - r)!

n= 31

r= 4

substitute

= 31!/4!(31-4)!

= 31!/4!(27)!

= 31*30*29*28*27!/ 4!(27)!

= 31*30*29*28/4!

=31*30*29*28/4*3*2*1

=755160/24

=31465 ways

Hence there are 31465 possible ways to rank it