document.write( "Question 686400: A committee of 8 people are to choose a president, vice president, and a treasurer. If each officer is to be held by one person and no person is to hold more than one office, in how many ways can this committee be selected? \n" ); document.write( "
Algebra.Com's Answer #424761 by Edwin McCravy(20055)\"\" \"About 
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document.write( "We can choose any one of the 8 people to be the\r\n" );
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document.write( "That leaves 7 people to choose one out of to be the \r\n" );
document.write( "vice president.  \r\n" );
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document.write( "So for each of the 8 ways we can choose the president,\r\n" );
document.write( "there are 7 ways we can choose the vice president.  \r\n" );
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document.write( "Therefore there are 8×7 or 56 ways we can choose the \r\n" );
document.write( "president and the vice president.\r\n" );
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document.write( "That leaves 6 people to choose one out of to be the \r\n" );
document.write( "treasurer.\r\n" );
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document.write( "So for each of the 8×7 or 56 ways we can choose the president\r\n" );
document.write( "and the vice president, there are 6 people from whom we can \r\n" );
document.write( "choose to be the treasurer.  \r\n" );
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document.write( "Therefore there are 8×7×6 or 336 ways we can choose the \r\n" );
document.write( "president,the vice president, and the treasurer.  \r\n" );
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document.write( "That's the number of permutations of 8 things taken 3 at a\r\n" );
document.write( "time.  ORDER MATTERS because president, vice-President,\r\n" );
document.write( "and secretary are ordered by rank.\r\n" );
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document.write( "P(8,3) = 8×7×6 = 336\r\n" );
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document.write( "Edwin
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