The greatest integer n such that (42)n divides 2011! is
(A)330
(B)331
(C)332
(D)333
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2 Answers
Manish Shankar
·2011-01-29 00:54:39
highest power of 7 is the key here..
because 42=2.3.7
So highest power of 7 is [2011/7]+[2011/49]+....
= 287+41+5=333