Question

A company is promoting two employees to the director and manger roles. If there are currently 35 employees, how many ways can those positions be filled?

1785

1190

595

270

Answer 1

595

Explanation:

Answer 2

595

Explanation:

2 positions for 35 employees.

`C(n) = ((n)/(k)) = (n!)/((k!(n-k)!))`

Where n = 35, total number of employees and k = 2, how many spots available

`(35)/(2) = (35!)/(2!(n-k)!) = (35*34)/(2 * 1) = 595`