help please

for a number to be divisible by 25, it must end in either 00 (making it a multiple of 100), 25 (a multiple of 100 + 25), 50 (a multiple of 50), or 75 (a multiple of 100 + 75). since 0 isn't in our digits, the digits must be in the form

$\times\times\times\times25$

or

$\times\times\times\times75$

where $\times$ represents any digit not used. there are $4!$ ways to arrange the digits that fit the first form and $4!$ ways for the second, so we have a total of 

$4! + 4! = 24 + 24 =\boxed{48}$

ways to arrange the digits.