document.write( "Question 403426: I am taking a finite math class and I'm stuck on my one problem, I was hoping you could help me. the problem states:\r
\n" ); document.write( "\n" ); document.write( "a group of 9 people is going to be formed into committes of 4, 3, and 2 people. how many committees can be formed if
\n" ); document.write( "a) a person can serve on any number of committees?
\n" ); document.write( "b) no person can serve on more than one committee\r
\n" ); document.write( "\n" ); document.write( "i have racked my brain an just can't seem to figure it out.
\n" ); document.write( "thank you for your help. \n" ); document.write( "
Algebra.Com's Answer #285289 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "A group of 9 people is going to be formed into committes of\r\n" );
document.write( "4, 3, and 2 people. how many committees can be formed if\r\n" );
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document.write( "a) a person can serve on any number of committees\r\n" );
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document.write( "We can pick people to serve on the 4-person committee any of 9C4 ways\r\n" );
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document.write( "For every one of those 9C4 ways,\r\n" );
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document.write( "we can pick people to serve on the 3-person committee any of 9C3 ways\r\n" );
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document.write( "That's 9C4*9C3 ways to pick people for the 4 and 3-person committees.\r\n" );
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document.write( "For every one of those 9C4*9C3 ways,\r\n" );
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document.write( "we can pick people to serve on the 2-person committee any of 9C2 ways\r\n" );
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document.write( "That's 9C4*9C3*9C2 ways to pick people for all the committees.\r\n" );
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document.write( " 9C4*9C3*9C2 = 126*84*36 = 381024 ways in all.\r\n" );
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document.write( "b) no person can serve on more than one committee\r\n" );
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document.write( "We can pick people to serve on the 4-person committee any of 9C4 ways\r\n" );
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document.write( "For every one of those 9C4 ways,\r\n" );
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document.write( "we can pick people to serve on the 3-person committee any of 5C3 ways\r\n" );
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document.write( "That's 9C4*5C3 ways to pick people for the 4 and 3-person committees.\r\n" );
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document.write( "For every one of those 9C4*5C3 ways,\r\n" );
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document.write( "we can pick people to serve on the 2-person committee any of 2C2 ways\r\n" );
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document.write( "That's 9C4*5C3*2C2 ways to pick people for all the committees.\r\n" );
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document.write( " 9C4*5C3*2C2 = 126*10*1 = 1260 ways in all.\r\n" );
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document.write( "Edwin
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