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# Permutations

As head of Brilliant's cybersecurity, you need to know how many different passwords can be created by rearranging the digits 1, 2, 3, 4, 5, and 6. Can you count them all?

How many 3 digit numbers are there, such that the hundreds digit is strictly smaller than the tens digit, which is strictly smaller than the units digit?

Can you solve this without listing?

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