document.write( "Question 23354: A class of 14 students is made up of 6 girls and 8 boys
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Algebra.Com's Answer #12131 by AnlytcPhil(1807)\"\" \"About 
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A class of 14 students is made up of 6 girls and 8 boys\r\n" );
document.write( "Determine the number of different groups of 5 that can be formed\r\n" );
document.write( "if there must be at most 1 boy in each group (there could be\r\n" );
document.write( "0 or 1 boy in each group). \r\n" );
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document.write( "A. 23\r\n" );
document.write( "B. 30\r\n" );
document.write( "C. 120\r\n" );
document.write( "D. 126\r\n" );
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document.write( "If there are no boys, then we only need to eliminate one of the 6 girls.\r\n" );
document.write( "We can choose the girl to eliminate any of 6 ways\r\n" );
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document.write( "If there is 1 boy, then we may choose the boy any of 8 ways.  For each of\r\n" );
document.write( "these 8 ways to choose the boy we can choose 4 girls to go with him C(6,4)\r\n" );
document.write( "ways or 6!/(4!2!) = 720/(24·2) = 15. So that 8·15 \r\n" );
document.write( "or 120 ways.\r\n" );
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document.write( "The grand total is 6+120 or 126, choice D\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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