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22 November, 11:46

A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles. HINT [See Example 7. How many sets of four marbles include all the red ones?

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  1. 22 November, 14:51
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    Number of possible sets = 4

    Step-by-step explanation:

    In the question,

    Number of Red marbles in the bag = 3

    Number of Green marbles in the bag = 2

    Number of Lavender marbles in the bag = 1

    Number of Yellow marbles in the bag = 4

    Number of Orange marbles in the bag = 5

    So,

    If we need to form a set having all the red marbles then,

    We have 3 Red marbles and only the set of 4 is needed to be made.

    For that,

    We have 4 different options,

    1 Green + 3 Red

    1 Lavender + 3 Red

    1 Yellow + 3 Red

    and,

    1 Orange + 3 Red.

    Therefore, there are only 4 such cases which include all the Red marbles in them.
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