document.write( "Question 1124456: please help me. There are 6 black marbles, 6 white marbles, and 7 red marbles in a bag. If five marbles are chosen at random, find the probability that there will be two black, two white, and one red marble. \n" ); document.write( "
Algebra.Com's Answer #740753 by ikleyn(52803)\"\" \"About 
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document.write( "In all, there are  6 + 6 + 7 = 19 marbles.\r\n" );
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document.write( "The probability in this case is the ratio, whose denominator is  \"C%5B19%5D%5E5\", and the numerator is the product\r\n" );
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document.write( "    \"C%5B6%5D%5E2\".\"C%5B6%5D%5E2\".\"C%5B7%5D%5E1\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Here the symbols  \"C%5Bn%5D%5Em\"  denotes the number of combinations of  n  items taken  m  at a time.\r
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\n" ); document.write( "\n" ); document.write( "When you are given such problem,  it is assumed that you know what the combinations are and how to calculate these numbers.\r
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\n" ); document.write( "\n" ); document.write( "On combinations,  see the 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( "    - Math circle level problem on Combinations \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( "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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