How many sets of guests are possible if 6 friends are


Question: A hostess wishes to invite 6 dinner guests from a list of 14 friends

1. How many sets of guests are possible?

2. How many sets of guests are possible if 6 friends are boring and 6 friends are interesting, and the hostess wants to have at least 1 of each?

3. How many sets of guests are possible if 2 of the friends dislike each other and neither will come if he other is present?

4. How many sets of guests are possible if 2 of the friends are very fond of each other and one won't come without the other?

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Mathematics: How many sets of guests are possible if 6 friends are
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