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5a. How many ways can you select a committee of size 4 from a group of 10 people if 2 of the
people refuse to serve together?
b. How many ways can you select a committee of size 4 from a group of 10 people if 2 of the
people will only serve if they are together?
6. Fifty Martians are together. What's the probability at least 2 of them share the same birthday?

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