Prove that : \frac { 1 } { 10 ! } + \frac { 1 } { 11 ! } + \frac { 1 } – InterviewSolution

1.

Prove that : \frac { 1 } { 10 ! } + \frac { 1 } { 11 ! } + \frac { 1 } { 12 ! } = \frac { 145 } { 12 ! }

Answer»

1/10!+1/11×10!+1/12×11×10!=1/10!(1+1/11+1/132)=(132+11+1)/132×12!=145/12×11×10!=145/12!

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