Solve the problem.
-Cal is packing his suitcase to go on a trip. He wants to pack 3 pairs of pants chosen from the 9 pairs of pants in his closet and 5 shirts chosen from the 10 shirts in his closet. In how many ways
Can this be done?
A) 2,540,160
B) 15,240,960
C) 127,008
D) 21,168

Question

Quizplus · Accepted Answer

The number of ways to choose 3 pairs of pants from 9 is calculated using combinations: 9C3 = 9! / (3!(9-3)!) = 84 ways. The number of ways to choose 5 shirts from 10 is calculated using combinations: 10C5 = 10! / (5!(10-5)!) = 252 ways. To find the total number of ways to choose both pants and shirts, multiply the two: 84 * 252 = 21,168.

Solve the Problem. -Cal Is Packing His Suitcase to Go on a Trip