Question

Suppose there are 15 freshman, 16 sophomores, 10 juniors, and 12 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions

Answer 1

Number of ways = 140,556

Explanation:

Total person = 15 + 16 + 10 + 12

Total person = 53

Number of not included bperson = 3

Computation:

Number of ways = !53 / !(53-3)

Number of ways = 53 x 52 x 51

Number of ways = 140,556