10! = 2^8*3^4*5^2*7= 2 zeros (10*5*2)
after rearranging 10! = 100*2^6*3^4*7
2*5!^2 = 2^7*3^2*5^2=2 zeroes(5*2*5*2)
after rearranging 100*2^5*3^2
now 10!-2*5!^2 = 100(2^6*3^4*7 - 2^5*3^2)
= 100*2^5*3^2(2*3^2*7 - 1)
=100*2^5*3^2*125
=100 *2^5*3^2 *5^3
= 10^5 *2^2*3^2
OA:E
after rearranging 10! = 100*2^6*3^4*7
2*5!^2 = 2^7*3^2*5^2=2 zeroes(5*2*5*2)
after rearranging 100*2^5*3^2
now 10!-2*5!^2 = 100(2^6*3^4*7 - 2^5*3^2)
= 100*2^5*3^2(2*3^2*7 - 1)
=100*2^5*3^2*125
=100 *2^5*3^2 *5^3
= 10^5 *2^2*3^2
OA:E