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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 choices does he have for his flight plan?

You have 3 different colored bottles, each with a distinct cap. In how many ways can these caps be put on the bottles such that **none** of the caps are on the correct bottle?

- All the caps should be on the bottles.

What is the minimum number of participants in the parade that will give more than a billion possible orderings?

How many integers are there from 1 through 999 that have distinct digits?

If you write all the whole numbers upto 100000, the number of times you write the digit '1' is A and the number of times you write the digit '2' is B. what is the value of A-B ?

Note : if you write 11 , then you will count it as writing '1' twice.

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