SOLUTION: How many three digit numbers are such that the product of their digits is 120? (A) 2 (B) 3 (C) 6 (D) 12 (E) 24

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Question 306210: How many three digit numbers are such that the product of their digits is 120?
(A) 2 (B) 3 (C) 6 (D) 12 (E) 24

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
120%2F5=24
Two combinations of single digit numbers make a product of 24.
4%2A6=24
3%2A8=24
Look at all combinations of 3,5,8 and 4,5,6.
3 numbers taken 3 at a time makes for 6 combinations.
2 sets of 6 combinations makes 12 total.
D) is the correct answer.