Question: 1. a) How many nonempty subsets are in a set of 5 elements? b) Erika has 5 friends. In how many ways can she invite

1. a) How many nonempty subsets are in a set of 5 elements?

b) Erika has 5 friends. In how many ways can she invite one or more friends to a dinner party?

2. A sailing club has 10 white flags, 7 red flags and 3 green flags, In how many ways can these flags be displayed in a row?

3. Find the number of bit strings of length 15 that have exactly three 1s.

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