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  • Choosing funds amongst a group of them subject to constraints

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    A financial advisor offers 8 mutual funds in the high risk category, 7 in the moderate risk category, and 10 in the low risk category. An investor decides to invest in 3 high risk funds, 4 moderate risk funds, and 3 low risk funds. How many ways can the investor do this?

    asked Feb 17 '12 at 01:13

    oakbytes's gravatar image

    oakbytes
    1.4k556580


    Investor has to select 3 out of 8 high risk funds (=8C3 ways) and 4 out of 7 moderate risk funds (=7C4 ways) and 3 out of 10 low risk funds (=10C3 ways).
    Total ways of doing so is 8C3 x 7C4 x 10C3 = 235,200 ways

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    answered Apr 09 '12 at 01:38

    oakbytes's gravatar image

    oakbytes
    1.4k556580

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    question asked: Feb 17 '12 at 01:13

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    last updated: Apr 09 '12 at 01:38