Saturday, December 2, 2017

`_12 C_5` Find the binomial coefficient.

Use the formula `_nC_r=(n!)/(r!(n-r)!)`


`_12C_5=(12!)/(5!(12-5)!)`


`=(12*11*10*9*8*7!)/(5*4*3*2*1*7!)`


`=(12*11*10*9*8)/(5*4*3*2*1)`


`=792`

Use the formula `_nC_r=(n!)/(r!(n-r)!)`


`_12C_5=(12!)/(5!(12-5)!)`


`=(12*11*10*9*8*7!)/(5*4*3*2*1*7!)`


`=(12*11*10*9*8)/(5*4*3*2*1)`


`=792`

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