How do you evaluate the expression $(23!)/(2!10!)$ ?

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Answer 1 · 2017-12-02T19:26:04

Just use the properties of factorials: 23⋅22⋅21⋅20⋅19⋅18⋅17⋅16⋅15⋅14⋅13⋅6⋅11

$(23!)/(2!\10!)=$

$(23*22*21*20*19*18*17*16*15*14*13*12*11*10!)/(2*10!)=$

$(23...14*13*(cancel(2)*6)*11*cancel(10!))/(cancel(2*10!)$

$=23*22*21*20*19*18*17*16*15*14*13*6*11$

How do you evaluate the expression (23!)/(2!10!)(23!)/(2!10!)?