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_ _ _ 3 digit number

Since number <600,
therefore

1st digit = 5
2nd = 6/7/8/9
3rd = 7/8/9 (or any 3 digits left after the first two blanks filled; since no repetition)

P = 1 * 4 * 3
= 12
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Bunuel
Using the digit from the set Q = (5, 6, 7, 8, 9), no digit being used more than once, how many 3-digit numbers smaller than 600 can be made?

A. 10
B. 11
C. 12
D. 13
E. 14

Since the number must be less than 600, the first digit (i.e., the hundreds digit) must be 5. Then we have 4 options for the next (tens) digit and 3 options for the ones digit. Thus, the number can be created in 1 x 4 x 3 = 12 ways.

Answer: C
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