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List all the permutations of {a, b, c}. How many permutations of {a, b, c, d, e, f, g} end with a? Find the

 

List all the permutations of {a, b, c}. How many permutations of {a, b, c, d, e, f, g} end with a? Find the value of each of these quantities. a) P(6,3) c) P(8,1) e) P(8,8) b) P(6,5) d) P(8,5) f) P(10,9) How many bit strings of length 10 contain a) exactly four 1s? b) at most four 1s? c) at least four 1s? d) an equal number of Os and 1s?

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