document.write( "Question 1167289: A club has 20 members. In how many ways could an executive committee consisting of a president, vice president, secretary, membership director, and treasurer be named? Show two methods. \n" ); document.write( "

Algebra.Com's Answer #852021 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A club has 20 members. In how many ways could an executive committee consisting of a president,
\n" ); document.write( "vice president, secretary, membership director, and treasurer be named? Show two methods.
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document.write( "There are 20 options (possible outcomes) for the president position;\r\n" );
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document.write( "then 19 options for the vice-president position;\r\n" );
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document.write( "then 18 options for the secretary position;\r\n" );
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document.write( "then 17 options for the membership director position;\r\n" );
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document.write( "then 16 options for the treasurer position.\r\n" );
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document.write( "In all, it gives  20*19*18*17*16 = 1860480 different outcomes of possible elections.\r\n" );
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document.write( "Interesting, that you can start from any position and drive your reasoning \r\n" );
document.write( "in any different order from position to position, but your final answer will be \r\n" );
document.write( "the same invariant value independently on the order in which you consider the positions.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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