Question

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

Answer 1

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