document.write( "Question 322422: A group of three seniors, six juniors, and five sophomores must select a committee of three. How many committees are possible if the committee must contain the following:
\n" ); document.write( "a. One person from each class.
\n" ); document.write( "b. Any mixture of the classes.
\n" ); document.write( "c. Exactly two seniors. \n" ); document.write( "

Algebra.Com's Answer #230821 by Edwin McCravy(20060) $\"\"$ $\"About$

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A group of three seniors, six juniors, and five sophomores must select a committee of three. How many committees are possible if the committee must contain the following:
\n" ); document.write( "a. One person from each class.
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document.write( "Choose the senior 3 ways, then choose the junior 6 ways, \r\n" );
document.write( "then choose the sophomore 5 ways.  3x6x5 = 90 possible \r\n" );
document.write( "committees.\r\n" );
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\n" ); document.write( "b. Any mixture of the classes.
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document.write( "14 students, choose 3 = 14C3 = \r\n" );
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\n" ); document.write( "c. Exactly two seniors.
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document.write( "(3 seniors, choose 2) AND (11 non-seniors choose 1) = (3C2)(11C1) = = 3*11 = 33 ways.\r\n" );
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document.write( "Edwin

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