Solve the problem.
-Cal is packing his suitcase to go on a trip. He wants to pack 4 pairs of pants chosen from the 6 pairs of pants in his closet and 3 shirts chosen from the 10 shirts in his closet. In how many ways can this be done?
A) 1800
B) 259,200
C) 43,200
D) 10,800

Question

Quizplus · Accepted Answer

To determine the number of ways Cal can pack his suitcase, calculate the combinations of pants and shirts separately and then multiply the results. For pants, he chooses 4 out of 6, which is calculated as 6C4 = 6! / (4! * (6-4)!) = 15 ways. For shirts, he chooses 3 out of 10, which is 10C3 = 10! / (3! * (10-3)!) = 120 ways. Multiplying these gives 15 * 120 = 1800 ways.

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