document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114788>Question 1114788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, thank you for helping me with this math question<BR>\n" );
document.write( "Consider a class with 12 girls and 10 boys (22 in total):<BR>\n" );
document.write( "In how many ways can a committee of 5 consisting of 3 girls and 2 boys be chosen?<BR>\n" );
document.write( "a) 0.03<BR>\n" );
document.write( "b) 792<BR>\n" );
document.write( "c) 0.3759<BR>\n" );
document.write( "d) 9900<BR>\n" );
document.write( "Here is my thought process which led to none of the given answer choices.<BR>\n" );
document.write( "We can easily eliminate A and C, as they are not numbers of different arrangements, rather, they are probabilities, which is not what the question is asking.<BR>\n" );
document.write( "I recognized the nature of the question to be a permutation, as you care about which order you are placing the 12 girls in 3 places on the committee. For example, Girl A, B, C is a possible permutation, but B, A, C is also a different permutation that must be counted. The same is true for putting the 10 boys into the 2 other spaces on the committee. So, I tried (12 nPr 3) + (10 nPr 2), which made logical sense in my head as you want 12 girls in 3 different ways on the committee plus the 10 boys you want in 3 different ways on the committee.<BR>\n" );
document.write( "This way gets you to an answer of 1410, which is way off from the answer choices,so I was wondering what I did wrong in this thought process.<BR>\n" );
document.write( "Thank you for your time and free advice :)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729706 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=729706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "For Combinations, &nbsp;see the lessons \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-combinations.lesson>PROOF of the formula on the number of Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Problems-on-Combinations.lesson>Problems on Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Permutations/OVERVIEW-the-lessons-on-Permutations-and-Combinations.lesson>OVERVIEW of lessons on Permutations and Combinations</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic &nbsp;\"<U>Combinatorics: Combinations and permutations</U>\". \r<BR>\n" );
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document.write( "Save the link to this textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in ALGEBRA-II<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
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document.write( "into your archive and use when it is needed.\r<BR>\n" );
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