Without repetition, how many for 4 digits numbers you can form with 1,2,3,4,5,6,7 which are divisible by 5
The only way that a number is divisible by 5 is if it ends in 0 or 5
So..........we must have the form
___ ____ ____ 5
We have 6 other digits to choose from....so.....the total possible 4 digit numbers divisible by 5 with no digits repeated =
6 choices * 5 choices * 4 choices =
120