math

A playground is being designed where children can interact with their friends in certain combinations.

If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be only 1 interaction.
If there are 3 children, there can be 4 interactions.
If there are 4 children, there can be 9 interactions.

How many interactions will there be for 8 children?

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  1. Are they implying that interaction (I) between children (c) is a quadratic function ????
    then

    I(c)= (c-1)^2

    so I(8) = 7^2 = 49

    (look like a text-book editor's feeble attempt to "make mathematics real" )

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  2. A playground is being designed where children can interact with their friends in certain combinations.

    If there is 1 child, there can be 0 interactions.
    If there are 2 children, there can be 6 interactions.
    If there are 3 children, there can be 15 interactions.
    If there are 4 children, there can be 27 interactions.

    How many interactions will there be for 7 children?

    60

    81

    105

    108

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  3. 105

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