document.write( "Question 758434: A group of 7 memebers having a majority of boys to be formed out of 6 boys and 4 girls . The number of ways the group can be formed is
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document.write( "a) 80
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document.write( "b) 100
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document.write( "c) 90
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document.write( "d) 110 \n" );
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Algebra.Com's Answer #461496 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i believe your answer will be 100. \n" ); document.write( "the number of boys and girls in the 7 member group can be: \n" ); document.write( "4 boys 3 girls \n" ); document.write( "5 boys 2 girls \n" ); document.write( "6 boys 1 girl\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can't have more than 6 boys since that's all that is available. \n" ); document.write( "3 boys in the 7 member group would not be a majority because you would then have 4 girls.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 boys 3 girls is calculated as 6C4 * 4C3 = 15 * 4 = 60 \n" ); document.write( "5 boys 2 girls is calculated as 6C5 * 4C2 = 6 * 6 = 36 \n" ); document.write( "6 boys 1 girl is calculated as 6C6 * 4C1 = 1 * 4 = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add them up together and you get 100 possible ways that the group can be formed where the boys are in the majority.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |