Solve the problem.
-There are 6 women running in a race. How many different ways could first, second, and third place finishers occur?

Question

Quizplus · Accepted Answer

This problem can be solved using permutations since the order of the finishers matters. The formula for permutations is nPr = n! / (n-r)!, where n is the total number of items, and r is the number of items being chosen. Here, n=6 (total women) and r=3 (positions to fill). So, 6P3 = 6! / (6-3)! = 6! / 3! = (6*5*4*3*2*1) / (3*2*1) = 720 / 6 = 120.

Solve the Problem. -There Are 6 Women Running in a Race. How Many