document.write( "Question 927161: In a group of 14 students, there are 8 girls and 6 boys.\r
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document.write( "a) Determine the number of ways that a committee of 4 students can be chosen from this group. \r
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document.write( "b) Determine the number of ways that a committee of 4 students which has exactly 2 girls can be chosen from the group.\r
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document.write( "c) Determine the number of ways that a committee of 4 students which has at least 1 boy can be chosen from the group.\r
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document.write( "d) The committee of 4 students must have 1 girl, 1 boy , and 2 other students, how many different committees can be chosen from this group?\r
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document.write( "I have solved a), b) and c) for the question, but I am not sure about d).\r
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document.write( "I thought maybe it could be worked out like this:\r
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document.write( "8C1 x 6C1 x 12C2 = 3,168\r
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document.write( "I don't know if that is right though. Any help would be greatly appreciated. Thank you!\r
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Algebra.Com's Answer #562728 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In a group of 14 students, there are 8 girls and 6 boys. \n" ); document.write( "a) Determine the number of ways that a committee of 4 students can be chosen from this group. \n" ); document.write( " b) Determine the number of ways that a committee of 4 students which has exactly 2 girls can be chosen from the group. \n" ); document.write( " c) Determine the number of ways that a committee of 4 students which has at least 1 boy can be chosen from the group. \n" ); document.write( " d) The committee of 4 students must have 1 girl, 1 boy , and 2 other students, how many different committees can be chosen from this group? \n" ); document.write( " I have solved a), b) and c) for the question, but I am not sure about d). \n" ); document.write( "I thought maybe it could be worked out like this: \n" ); document.write( "8C1 x 6C1 x 12C2 = 3,168 \n" ); document.write( "---- \n" ); document.write( "Comment:: Since all of the \"other students\" are either boys or girls, \n" ); document.write( "I think your answer is correct.. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------- \n" ); document.write( " \n" ); document.write( " |