document.write( "Question 962557: a group of five children has to be chosen from a form of eight boys and twelve girls.in how many ways can the selection be made if the group must contain at least two boys and two girls? \n" ); document.write( "

Algebra.Com's Answer #588138 by Edwin McCravy(20055) $\"\"$ $\"About$

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a group of five children has to be chosen from a form of eight boys and twelve girls.in how many ways can the selection be made if the group must contain at least two boys and two girls?
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document.write( "That's either 3 girls and 2 boys or 2 girls and 3 boys.\r\n" );
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document.write( "Case 1:  3 girls and 2 boys\r\n" );
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document.write( "Choose the 3 girls 12C3 = 220 ways and the 2 boys 8C2 = 28 ways.\r\n" );
document.write( "That's 220*28 = 6160 ways.\r\n" );
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document.write( "Case 2:  2 girls and 2 boys\r\n" );
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document.write( "Choose the 2 girls 12C2 = 66 ways and the 3 boys 8C3 = 56 ways.\r\n" );
document.write( "That's 66*56 = 3696 ways.\r\n" );
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document.write( "Grand total 6160+3696 = 9856 ways.\r\n" );
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document.write( "Edwin

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