If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest value of n?	Select the correct option:	A) 1	B) 2	C) 3	D) 4	E) 5
=10∗9∗8∗7∗6∗5!−2∗5!∗5∗4∗3∗2∗1   =5!∗10∗3∗8(125)   =5∗(2∗2)∗3∗2∗(5∗2)∗24∗5∗5∗5   =5∗2∗5∗2∗5∗2∗5∗2∗24∗5∗3   =10^4∗2^4∗5∗3   =10^4∗5∗2∗12∗3   =10^5∗36   Answer: 5
<result>E</result>
If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest value of n?