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Math Help - Combinatorics Word Problem

  1. #1
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    Post Combinatorics Word Problem

    Dear Forum I need some assistance with the following:

    A student must answer eight of ten questions on an exam. How many different choices can the student make?


    any comments would be appreciated:
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  2. #2
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    Hello, AlgebraicallyChallenged!

    A student must answer eight of ten questions on an exam.
    How many different choices can the student make?

    This is a Combination problem.
    The order in which he selects (and answers) the questions does not matter.

    We are simply selecting 8 objects from 10 objects.

    This number is: / _{10}C_8 \:=\:{10\choose8} \:=\:\frac{10!}{8!\,2!} \;=\;45

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