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    Permutations and Restrictions

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    Can you check my answers and help me with B?

    Preparing a plate of cookies for 8 children, 3 types cookies {chocolate chip, peanut butter, oatmeal}, unlimited amount of cookies in supply but only cookie per child.

    One cookie per plate, one plate per child.

    A) How many different plates can be prepared? C(8,3) = 56
    B) How many different plates can be prepared if at least one of each kind of cookie is given out ?
    C) How many different plates can be prepared if no one likes oatmeal? C(8,2) = 28
    D) How many different plates can be prepared if two children need to get peanut butter? C(6,3) = + C(2,1) = 22
    E) How many different plates can be prepared if the dog got into the kitchen and three are only two chocolate chip cookies left? C(6,2) + 2 = 17

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    https://brainmass.com/math/combinatorics/permutations-restrictions-21748

    Solution Preview

    I would suggest that instead of relying on the formulas for Combination try to actually count the possible combinations.
    If we write the number of chocolate ...

    Solution Summary

    A step-by step solution that also visualizes the results. The different plates are given.

    $2.49

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