Q.

The exponent of 7 in  100C50 is

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Detailed Solution

We have  100c50=100!50!50!

The exponent of 7 in 50! is [507]+[5072]=7+1=8

And the exponent of 7 in 100! =[1007]+[10072]=14+2=16, Thus, exponent of 7 in  100C50 is 162(8)=0

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