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Mathematics, 13.03.2020 05:23 raquelle66

Explain and prove your answer for each question. (a) How many lists of length 3 can be formed whose components are drawn from {1, 2, 3, . . . , n}? (b) How many lists of length 3 can be formed whose components are drawn from {1, 2, 3, . . . , n} and if we require that the first and second components must be the same? (c) How many lists of length 3 can be formed whose components are drawn from {1, 2, 3, . . . , n} and the components are all distinct? (d) How many lists of length 3 can be formed whose components are drawn from {1, 2, 3, . . . , n} and if we only require that the first and last components must be different?

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