Problem 12: Fractional Factorials

Level 1

10 ! + 11 ! 9 ! = x ! \dfrac{10!+11!}{9!} = x!

Find x x .


The answer is 5.

Ashwin R by Ashwin R , 16, USA

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1 solution

Vilakshan Gupta
Apr 27, 2018

10 ! + 11 ! 9 ! = 10 ! 9 ! + 11 ! 9 ! = 10 + 110 = 120 = 5 ! \large \dfrac{10!+11!}{9!}=\dfrac{10!}{9!}+\dfrac{11!}{9!}=10+110=120=\boxed{5!}

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