Question

Suppose that there are 11 employees in an office. The boss needs to select 5 of the employees to

go on a business trip to Florida. In how many ways can the boss do this?
OOOO

Answer 1

462ways

Explanation:

This Is a combination problem, we we are expected to determine the number of possible ways of selecting the numbers of staffs for a business trip

C(n, r) were n= 11

r=5

C(n, r) = n!/(n-r)! r!

C(n, r) = 11!/(11-5)! 5!

C(n, r) = 11!/(6)! 5!

C(n, r) = 11*10*9*8*7*6!/(6)! 5*4*3*2*1

C(n, r) = 11*10*9*8*7/5*4*3*2*1

C(n, r) = 55440/120

C(n, r) = 462

The number of possible ways is 462