If (500)!=k*(2^(a)3^(b)5^(c)) (where a,b...

If `(500)!``=k*(2^(a)3^(b)5^(c))` (where `a,b,c in N`, k does not contain any factor of 2, 3 and 5) then
(A) `agtc`
(B) `c=124`
(C) number of zeros at the end of `(500)!` is equal to `124`
(D) `(500)!` is an even number

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