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    Question

    A bag contains 5 red flowers, 7 yellow flowers

    and 8 green flowers. 3 flowers are drawn randomly. What is the probability that the flowers drawn contain flowers of different colors?
    A 17/57 Correct Answer Incorrect Answer
    B 19/57 Correct Answer Incorrect Answer
    C 14/57 Correct Answer Incorrect Answer
    D 18/57 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total number of flowers = 5 + 7 + 8 = 20 Let S be the sample space. Then, n(S) = number of ways of drawing 3 flowers out of 20 = 20 C 3 = `(20 xx 19 xx 18)/(3 xx 2 xx 1)` = 1140 Let E= event of drawing 3 flowers of the different color n(E) = 5 C 1 x 7 C 1 x 8 C 1 = 5 x 7 x 8 = 280 [if gte msEquation 12]>∴ [if !msEquation]-->[endif]-->P (E) = = =

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