document.write( "Question 1143142: A committee consisting of 2 faculty members and 3 students is to be formed. Every committee position has the same duties and voting rights. There are 9 faculty members and 11 students eligible to serve on the committee. In how many ways can the committee be formed? \n" ); document.write( "

Algebra.Com's Answer #763919 by ikleyn(52800) $\"\"$ $\"About$

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document.write( "They select  2 faculty members from the pool of 9 faculty members.\r\n" );
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document.write( "It can be done in   =  = 36 ways.\r\n" );
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document.write( "They select  3 students from the pool of 11 students.\r\n" );
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document.write( "It can be done in   =  = 165 ways. \r\n" );
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document.write( "These selections are independent - so, by the general counting principle, the final answer is the product\r\n" );
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document.write( "    . = 36*165 = 5940.    ANSWER\r\n" );
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