SOLUTION: How many 5-digit numbers between 25000 and 29999 can be made if no digits are repeated

Let the number be ABCDE, where the 5 letters represent the 5 digits.

1. There is only 1 choice for A.  It must be 2.  
2. There are 5 choices for B. They are 5,6,7,8,9, to make the number be between
   25000 and 29999. 
3. There are 8 choices for C, since 2 of the 10 digits have already been chosen.
4. There are 7 choices for D, since 3 of the 10 digits have already been chosen. 
5. There are 6 choices for E, since 4 of the 10 digits have already been chosen.


Answer: 1*5*8*7*6 = 1680

Edwin