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    Permutation and combination

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    In how many ways can 7 instructors be assigned to seven sections of a course in mathematics?

    How many different ways are there for an admissions officer to select a group of 7 college candidates from a group of 19 applicants for an interview?

    A man has 8 pairs of pants, 5 shirts, and 3 ties. How many different outfits can he wear?

    Two balls are to be selected without replacement from a bag containing one red, one blue, one green, one yellow, and one black ball. How many points are there in the sample space?

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    Solution Preview

    Please see the detailed solution in the attached file.
    1. This is a permutation problem
    P(7, 7) = 7! = 5040
    So there ...

    Solution Summary

    The solution is comprised of detailed examples related to permutation and combination.