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Please answer question 1. There are n identical sticks lined up in a row, and k of them are to be chosen. (a) How many

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1. There are n identical sticks lined up in a row, and k of them are to be chosen. (a) How many choices are there? (b) How many choices are there if no two of the chosen sticks can be consecutive? (c) How many choices are there if there must be at least 3 sticks between each pair of chosen sticks

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