document.write( "Question 1176094: Mr. Santos is randomly choosing 5 students for a team who will compete in a math quiz bee, and there are 9 girls and 8 boys to choose from. What is the probability of having a team made of 3 girls and 2 boys? \n" ); document.write( "

Algebra.Com's Answer #802128 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "There are   =  = 84 ways to select 3 girls from 9 girls.\r\n" );
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document.write( "There are   =  = 28 ways to select 2 boys from 8  boys.\r\n" );
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document.write( "There are  84*28 ways to combine the team of 5 consisting of 3 girls and 2 boys from 9 girls and 8 boys.\r\n" );
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document.write( "There are   =  = 6188 different ways to select 5 persons from 17 boys and girls.\r\n" );
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document.write( "So the probability under the problem's question is  P =  = 0.38 = 38%.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Combinations, 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( "    - 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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