There are 10 labeled balls (labeled 1, 2,···10) and 10 labeled bins (labeled 1,2,···10).

Even numbered balls are red, odd numbered balls are blue. Size of a subset refers to the number of items in

the subset.

1. Find the number of ways of choosing 6 balls.

2. Find the number of ways I can put balls in bins, such that exactly three bins have one ball in them,

and the remaining seven bins are empty.

3. Find the number of ways I can put balls in bins, such that each bin has one ball.

4. Find the number of ways I can put balls in bins, such that each bin has one ball, and even labelled bins

have even labelled balls in them.

5. Find the number of ways I can choose 4 balls, such that the sum of their labels is even.

6. Find the number of ways I can choose 2 red balls and 4 blue balls

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