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    Question

    A box contains 6 blue shirts, 7 yellow shirts and 9 pink

    shirts. In how many ways can 4 shirts be drawn from the box, if at least one blue shirt, one yellow shirt and one pink shirt is to be included in a draw?
    A 3720 Correct Answer Incorrect Answer
    B 3810 Correct Answer Incorrect Answer
    C 3591 Correct Answer Incorrect Answer
    D 3951 Correct Answer Incorrect Answer

    Solution

    Required number of ways = (6_(C_2 )×7_(C_1 )×9_(C_1 )) OR(〖 6〗_(C_1 )×7_(C_2 )×9_(C_1 )) OR 〖(6〗_(C_1 )×7_(C_1 )×9_(C_2 )) = (15 ×7 ×9)+(6 ×21 ×9)+(6×7 ×36) = 945 + 1134 + 1512 = 3591

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