# 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(13828)   (Show Source): You can put this solution on YOUR website! Two combinations of single digit numbers make a product of 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.