document.write( "Question 1188415: A committee of four is to be selected from a group of twenty people. How many different committees are possible, given the following conditions?
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Algebra.Com's Answer #819499 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A committee of four is to be selected from a group of twenty people.
\n" ); document.write( "How many different committees are possible, given the following conditions?
\n" ); document.write( "One person is the chair, one person is the secretary,
\n" ); document.write( "and the other two are responsible for refreshment clean up.
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document.write( "There are 20*19 = 380 choices for the first two positions (380 ordered pairs).\r\n" );
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document.write( "And there are  = 9*17 = 153 choices for the pairs responsible for refreshments and cleaning up\r\n" );
document.write( "(unordered pairs).\r\n" );
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document.write( "In all, there are 380*153 = 58140 different committees.    ANSWER\r\n" );
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