Q.
The exponent of 7 in the prime factorization of 100C50 is
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a
0
b
2
c
4
d
none of these
answer is A.
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Detailed Solution
We have 100C50=100!50!50!The exponent of 7 in 50! is 507+5072=7+1=81007+10072+10073=14+2=16Thus, exponent of 7 in the prime factorization of 100C50 is 16−2(8)=0
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