Question 143058: How many 5-digit numbers exist between 65,000 and 69,999 if each number has no repeated digits?
Answer by vleith(2983)   (Show Source):
You can put this solution on YOUR website! The first digit must be a 6, so you have only one choice for that digit.
The next digit must be between 5 and 9, but not 6. So there are 4 choices.
The middle digit can be anything that is not already used. So there are 10-2 choices.
The fourth digit can also be anything, but cannot be already used. So 10-3.
The last digit is anything not used. 10-4
That yields:
1*4*8*7*6 = 1344 combos that lie between 65000 and 65999 with no repeated digits.
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