Solve the problem.
-Cal is packing his suitcase to go on a trip. He wants to pack 3 pairs of pants chosen from the 8 pairs of pants in his closet and 4 shirts chosen from the 10 shirts in his closet. In how many ways can this
Be done?
A) 70,560
B) 1,693,440
C) 11,760
D) 282,240

Question

Quizplus · Accepted Answer

To find the total number of ways Cal can pack his suitcase, we calculate the combinations separately for pants and shirts and then multiply the results. For pants, he chooses 3 out of 8, which is calculated using combinations as 8C3 = 8! / (3!(8-3)!) = 56 ways. For shirts, he chooses 4 out of 10, calculated as 10C4 = 10! / (4!(10-4)!) = 210 ways. Multiplying these gives 56 * 210 = 11,760 ways.

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