document.write( "Question 1098055: Out of 6 physicists and 6 chemists, a committee consisting of 3
\n" ); document.write( "physicists and 2 chemists is to be formed. In how many ways
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Algebra.Com's Answer #712471 by Edwin McCravy(20055)\"\" \"About 
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Out of 6 physicists and 6 chemists, a committee consisting of 3
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\n" ); document.write( "the committee together?
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document.write( "So there are 2 \"restricted\" physicists and 4 non-\"restricted\" physicists.\r\n" );
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document.write( "So the committee consists of either:\r\n" );
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document.write( "Case 1: 1 restricted physicist, 2 non-resticted physicists, and 2 chemists.  \r\n" );
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document.write( "Choose the 1 restricted physicist in 2C1 ways.  (2 choose 1)\r\n" );
document.write( "Choose the 2 non-restricted physicist in 4C2 ways. (4 choose 2)\r\n" );
document.write( "Choose the 2 chemists in 6C2 ways. (6 choose 2)\r\n" );
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document.write( "That's (2C1)(4C2)(8C2).\r\n" );
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document.write( "          OR\r\n" );
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document.write( "Case 2: 3 non-restricted physicists, and 2 chemists.  \r\n" );
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document.write( "Choose the 3 non-restricted physicist in 4C3 ways. (4 choose 3)\r\n" );
document.write( "Choose the 2 chemists in 6C2 ways. (6 choose 2)\r\n" );
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document.write( "That's (4C3)(6C2).\r\n" );
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document.write( "Total for both cases:  (2C1)(4C2)(8C2) + (4C3)(6C2)\r\n" );
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document.write( "Edwin
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