List all the different combinations of girls and boys that can occur in a three-child family. Use “G” to represent a girl and “B” to represe

Question

List all the different combinations of girls and boys that can occur in a three-child family. Use “G” to represent a girl and “B” to represent a boy.

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Khang Minh 1 month 2021-08-13T20:12:13+00:00 1 Answers 1 views 0

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    2021-08-13T20:13:47+00:00

    Answer:

    There are four different combinations that can occur this way. They are;

    BBB

    GGG

    BBG

    GGB

    Step-by-step explanation:

    To obtain this result, we work with the combination rule which explains that the total number of combinations for a set with x elements is given by the formula;

    2^ˣ

    In the question above we have two sets of elements, namely, boys and girls. So, the total number of combinations we can get when this rule is obeyed is given by;

    2^²

    =4

    Therefore, we can have three boys(BBB), three girls(GGG), two boys and one girl(BBG), and two girls and one boy(GGB).

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