document.write( "Question 1019517: 6 freshmen, 6 sophomores, 6 juniors, and 6 seniors are
\n" ); document.write( "eligible to be on a committee.\r
\n" ); document.write( "\n" ); document.write( "In how many ways can a dance committee of 13 students
\n" ); document.write( "be chosen if it is to consist of exactly 2 juniors and
\n" ); document.write( "exactly 3 seniors, and the rest must be freshman or
\n" ); document.write( "sophomores? \n" ); document.write( "

Algebra.Com's Answer #635472 by Edwin McCravy(20054) $\"\"$ $\"About$

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6 freshmen, 6 sophomores, 6 juniors, and 6 seniors are
\n" ); document.write( "eligible to be on a committee.\r
\n" ); document.write( "\n" ); document.write( "In how many ways can a dance committee of 13 students
\n" ); document.write( "be chosen if it is to consist of exactly 2 juniors and
\n" ); document.write( "exactly 3 seniors, and the rest must be freshman or
\n" ); document.write( "sophomores?
\n" ); document.write( "

\r\n" );
document.write( "Since there must be 2 juniors and 3 seniors, that's 5\r\n" );
document.write( "of the 13, so that leaves 8 to be chosen from the 12\r\n" );
document.write( "freshmen and sophomores.\r\n" );
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document.write( "That's\r\n" );
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document.write( "6 juniors choose 2\r\n" );
document.write( "times\r\n" );
document.write( "6 seniors choose 3\r\n" );
document.write( "times\r\n" );
document.write( "12 freshmen & sophomores choose 8\r\n" );
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document.write( "or  (6C2)(6C3)(12C8) = (15)(20)(495) = 146500 ways.\r\n" );
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document.write( "Edwin

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