Question: Exercise 4 a) How many nonempty subsets are in a set of 5 elements? b) Erika has 5 friends. In how many ways can she

Exercise 4 a) How many nonempty subsets are in a set

Exercise 4 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? Exercise 5 Let ? = {xi,T2, , x?00} be a set of 100 distinct natural numbers. If these integers are divided by 75, then show that at least two of the remainders must be the same. Exercise 6. 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? Exercise 7. Find the number of bit strings of length 15 that have exactly three 1s

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