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Question

find the no. of trailing zeroes in 3003!+3004!+3005!.

Posted by: Shubh in Olympiad{RMO+INMO+IMO} 4 years ago, Total Answer(s): 1

Answer(s)

Since 3003 is the least no. among the given, 

therefore, no. of trailing zeroes in 3003! = no. of trailing zeroes in (3003!+3004!+3005!)

By factorising 3003!, we get 10^147 as one of the factor.

So, no. of trailing zeroes in 3003!=147

Therefore, zeroes in (3003!+3004!+3005!) = 147

By: Son Goku, 3 years ago

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