Discrete Mathematics
# Permutations

There are 3 flights from California to France, and 2 flights from France to India. Sanjeet wants to fly from California to France and then to India.

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?

**Details and Assumptions:**

- 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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