Forums Assignment Help An ice cream stand has nine different flavours.

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  • #1922

    ahprofessional
    Participant

    An ice cream stand has nine different flavours. A group of children come to the stand and each buys a double scoop cone with two flavours of ice cream. If none of the children choose the same combination of flavours, and every different combination of flavors is chosen, how many children are there?

    FLAVOURS

    1 Vanilla

    2 Maple

    3 Chocolate

    4 Tiger

    5 Raspberry

    6 Strawberry

    7 Coffee

    8 Moon Mist

    9 Cherry Vanilla

    #10507

    john Smith
    Participant

    The number of children = number of different combinations of

    two different flavours.

    1,2 2,3 3,4 4,5 5,6 6,7 7,8 8,9

    1,3 2,4 3,5 4,6 5,7 6,8 7,9

    1,4 2,5 3,6 4,7 5,8 6,9

    1,5 2,6 3,7 4,8 5,9

    1,6 2,7 3,8 4,9

    1,7 2,8 3,9

    1,8 2,9

    1,9

    36 = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1

    There are 36 children.

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