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How many bit strings of length 10 have (a) at least five 1s? (b) at most five 1s? (c) exactly one 0? (d) exactly four

How many bit strings of length 10 have

(a) at least five 1s?

(b) at most five 1s?

(c) exactly one 0?

(d) exactly four 0s?

(e) either two or seven 0s?

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