let p be a two digit prime number greater than 60 and k be a number such that k=(400!)(300!)/(500!). Given that exponent of p in k is 2 then how many such value of p exists

(Q). Let p be a two digit prime number greater than 60 & k be a number such that k=  . Given that exponent of p in k is 2. then how many such value of p exists.

Solution: 

Hence total 6 such values exists. Answer