document.write( "Question 159058: How many ways can a president, vice president , and secretary be chosen from a club with only 3 members \n" ); document.write( "

Algebra.Com's Answer #117168 by josmiceli(19441) $\"\"$ $\"About$

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Let a, b and c represent the members
\n" ); document.write( "Let p, v, and s represent the offices
\n" ); document.write( "of president, vice president and secretary
\n" ); document.write( "p --- v --- s
\n" ); document.write( "-------------
\n" ); document.write( "a --- b --- c
\n" ); document.write( "a --- c --- b
\n" ); document.write( "b --- a --- c
\n" ); document.write( "b --- c --- a
\n" ); document.write( "c --- a --- b
\n" ); document.write( "c --- b --- a
\n" ); document.write( "These are the 6 different ways the 3 members can fill
\n" ); document.write( "the 3 offices. It can be reasoned out as follows:
\n" ); document.write( "--------------
\n" ); document.write( "There are 3 choices for president. Once a president is chosen,
\n" ); document.write( "there are 2 members left, so there are 2 ways to fill the office
\n" ); document.write( "of vice president. Then there is 1 member left to fill
\n" ); document.write( "the office of secretary.
\n" ); document.write( " $\"3+%2A+2+%2A+1+=+6\"$ \n" ); document.write( "

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