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    Binomial Coefficients and Combinations

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    Four people select a main dish from a menu of 7 items. How many choices are possible:

    a) If a record is kept of who selected which choice (as a waiter would)

    b) If who selected which choice is ignored (as a chef would). Analyze this part by the number of different choices made.

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    Definition of Binomial Coefficient:

    Given a set X and a non-negative integer r, an r-subset of X is a subset A ...

    Solution Summary

    This solution shows how to compute the number of combinations for part (a) and the number of permutations for part (b). The solution is provided within a Word document which is attached and includes all calculations.