There are 40 entries in the science Fair how many ways can they finish in first second and 3rd place. A. 240

b. 1,480

c. 12,640

d. 59,280

This is an example for the variations without the repetition.

V m, n = n * (n - 1) * (n - 2) ... (n - m + 1)

In this case: m = 3, n = 40

V 3, 40 = 40 * 39 * 38 = 59,280 ways.

Answer:

d. 59,280