SAT Math Multiple Choice Practice Question 199: Answer and Explanation

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Question: 199

1. When getting ready in the morning, Marc selects his outfit from among four pairs of pants, six shirts, and two pairs of shoes. If each outfit includes one pair of pants, one shirt, and one pair of shoes, how many different outfits can Marc make?

A. 12
B. 20
C. 27
D. 48
E. 54

Correct Answer: D

Explanation:

D. You want to use the counting principle to solve this question. (See Chapter 18 for a refresher on probability.) The counting principle tells you that when multiple events appear in a problem, the total number of possibilities is the product of the number of possibilities for each event. In this problem, you have three events: choosing a pair of pants (four possibilities), choosing a shirt (six possibilities), and choosing a pair of shoes (two possibilities). Therefore, you know that 4 × 6 × 2 = 48 different outfits you can make.

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