document.write( "Question 788727: The Students Union council will elect a new Executive Committee, including one president, two vice presidents, three secretaries from 15 candidates. How many arrangements are possible? \n" ); document.write( "

Algebra.Com's Answer #478593 by yuginiwa(6) $\"\"$ $\"About$

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one president + 2 vice presidents + 3 secretaries from 15 candidates\r
\n" ); document.write( "\n" ); document.write( "1 + 2 + 3 = 6\r
\n" ); document.write( "\n" ); document.write( "n= 15
\n" ); document.write( "k= 6\r
\n" ); document.write( "\n" ); document.write( "C { n,k ) = n!
\n" ); document.write( " -------------
\n" ); document.write( " k! * (n-k)!\r
\n" ); document.write( "\n" ); document.write( " 15!
\n" ); document.write( " -------------
\n" ); document.write( " 6! * (15-6)!\r
\n" ); document.write( "\n" ); document.write( " 15!
\n" ); document.write( " -------------
\n" ); document.write( " 6! * 9!\r
\n" ); document.write( "\n" ); document.write( " 1307674368000
\n" ); document.write( " -------------
\n" ); document.write( " 261273600\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " = 5005 arrangements \n" ); document.write( "

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