Why does 8!/(2! x 2! x 2!) give 7!

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1 Answer

8!=8×7! by definition of factorial.

2!=2×1=2 and 2×2×2=23=8 so 8!=(2×2×2)×7!=(2!×2!×2!)×7!

Therefore 8!/(2!×2!×2!)=7!

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