If n ! has 17 zeros, then what is the value of n ?

Step-by-step solution

number of zeroes = Highest power of 5. by using options highest power in 95 is [ 95 5 ]+ [ 95 25 ]+ [ 95 125 ]=21 highest power in 80 is [ 80 5 ]+ [ 80 25 ]=19 highest power in 85 is [ 85 5 ]+ [ 85 25 ]=19 option (D) no such value of n exists.