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?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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