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

Question

asked Nov 16, 2023 98.5k views

2 Answers

Annamarie · Answer 1 · 2023-11-20T09:37:06+0000

Answer:

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