Paragraph: The exponent of prime number p in n ! is given by [ n p ]+ [ n p ^2 ]+ . . or _ r =1 ^ [ n p ^ r ] where [x] is greatest integer less than or equal to x . On the basis of above information answer the following : Question: The exp

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Paragraph: The exponent of prime number p in n ! is given by [ n p ]+ [ n p ^2 ]+ . . or _ r =1 ^ [ n p ^ r ] where [x] is greatest integer less than or equal to x . On the basis of above information answer the following : Question: The exponent of prime number 7 in 300! is -

Quantrex Academy · Accepted Answer

Correct answer: A. 48

Ans. (A) [ 300 7 ]+ [ 300 7^2 ]+ [ 300 7^3 ]=42+6+0=48

Paragraph: The exponent of prime number p in n ! is given by [ n p ]+ [ n p ^2 ]+ . . or _ r =1 ^ [ n p ^ r ] where [x] is greatest integer less than or equal to x . On the basis of above information answer the following : Question: The exponent of prime number 7 in 300! is -

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