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Factorials

The factorial of n is the product of all positive integers less than or equal to n. It is represented as n!. An example with n = 8 is shown below. With that in mind, can you find three sets of numbers (a, b, c) such that a! × b! = c! and a < b < c < 25?

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 

 This brainteaser was written by Derrick Niederman. 

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