document.write( "Question 1195520: In how many ways can a student org form a committee of 4 members from 3 freshmen, 4 sophomores, 9 juniors, and 4 seniors if each year level will be represented? \n" ); document.write( "

Algebra.Com's Answer #828031 by ikleyn(52928) $\"\"$ $\"About$

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\n" ); document.write( "In how many ways can a student org form a committee of 4 members from
\n" ); document.write( "3 freshmen, 4 sophomores, 9 juniors, and 4 seniors if each year level will be represented?
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document.write( "Notice that the problem has 4 (four) levels, and it requires that each and every level \r\n" );
document.write( "be presented in the committee of 4.\r\n" );
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document.write( "It means that from each level, exactly one representative can be and should be elected.\r\n" );
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document.write( "One representative of 3 freshmen   can be elected in 3 ways.\r\n" );
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document.write( "One representative of 4 sophomores can be elected in 4 ways.\r\n" );
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document.write( "One representative of 9 juniors    can be elected in 9 ways.\r\n" );
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document.write( "One representative of 4 seniors    can be elected in 4 ways.\r\n" );
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document.write( "Now, guided by the Fundamental counting principle, one may conclude that\r\n" );
document.write( "the number of all possible different committees as described in the problem\r\n" );
document.write( "is the product  3*4*9*4 = 432.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Fundamental counting principle, see the lesson\r
\n" ); document.write( "\n" ); document.write( " - Fundamental counting principle problems \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Combinatorics: Combinations and permutations\". \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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