SAT Math Multiple Choice Practice Question 306: Answer and Explanation

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Question: 306

20. 1, 2, 6, 7, 9

A three-digit integer is to be formed from the digits listed above. If the first digit must be odd, either the second or the third digit must be 2, and no digit may be repeated, how many such integers are possible?

A. 6
B. 9
C. 18
D. 24
E. 30

Correct Answer: C

Explanation:

C To create a three-digit number, three decisions must be made: you must choose the first digit, then choose where to put the two, then choose the final digit. Since the first digit must be odd, there are three options for the first digit. Since the two may be placed in either the second or the third slot, there are two options. Then there are three digits left to choose for the final slot. This means there are possibilities.

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