Question

A spelling bee has 22 contestants. In how many ways can they finish in first, second, and third place?

1,540
7,980
6,840
9,240

Answer 1

To find the number of ways the contestants can finish in first, second, and third place, we use the formula for permutations:

nPr = n! / (n-r)!

Where n is the total number of contestants (22) and r is the number of places (3).

So,
22P3 = 22! / (22-3)!
22P3 = 22! / 19!
22P3 = (22x21x20x19!) / 19!
22P3 = 22x21x20
22P3 = 7,980

Therefore, there are 7,980 ways the 22 contestants can finish in first, second, and third place.

The correct answer is:

7,980

Answer 2

Thank you

Answer 3

youre welcome