SAT Math Multiple Choice Practice Question 238: Answer and Explanation

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Question: 238

18. A certain class has 6 girls and 5 boys. Four of these students are to line up in the front of the room, with two girls on either end and two boys in between. How many such arrangements are possible?

A. 20
B. 200
C. 462
D. 600
E. 900

Correct Answer: D

Explanation:

D Think about how many options you have to fill each place, from left to right. Since the first person must be a girl, you have 6 options. Since the next must be a boy, you have 5 options. Since the next must be a boy, you have 4 options (one is already up there). Since the next must be a girl, you have 5 options left. This means that the total number of possible arrangements is .

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