document.write( "Question 1185849: At a certain high school, the Prom Committee is going to choose new members. There are 7 students from the Junior class and 6 students from the Senior class who are willing to be new members. In how many ways can 4 new members be chosen if 2 or fewer must be from the Senior class? \n" ); document.write( "

Algebra.Com's Answer #816716 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "At a certain high school, the Prom Committee is going to choose new members.
\n" ); document.write( "There are 7 students from the Junior class and 6 students from the Senior class who are willing to be new members.
\n" ); document.write( "In how many ways can 4 new members be chosen if 2 or fewer must be from the Senior class?
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document.write( "The solution to the problem is\r\n" );
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document.write( "    N(2 students from the SR class) + N(1 student from the SR class) + N(0 students from the SR class) = \r\n" );
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document.write( "  =  +  +  = 15*21 + 6*35 + 1*35 = 560.\r\n" );
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document.write( "ANSWER.  In 560 different ways.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "This problem is to use COMBINATIONS and the Fundamental Counting Principle.\r
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\n" ); document.write( "\n" ); document.write( "See introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Combinations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Combinations\r
\n" ); document.write( "\n" ); document.write( "    - Problems on Combinations\r
\n" ); document.write( "\n" ); document.write( "    - Fundamental counting principle problems \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\r
\n" ); document.write( "\n" ); document.write( "in this site.\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 lessons are 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
\n" ); document.write( "
\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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