document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551002>Question 551002</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A class consists of 6 girls and 10 boys. If a committee of 3 is chosen at random from the class,<BR>\n" );
document.write( "find the probability that (i) 3 boys are selected, (ii) exactly 2 boys are selected, (iii) at least one<BR>\n" );
document.write( "boy is selected, (iv) exactly 2 girls are selected.\r<BR>\n" );
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document.write( "I want to know the answer to subsection (ii) and how it is different from subsection (i)<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 #359314 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=359314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Total number of possible committee = 16C3\r<BR>\n" );
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document.write( "i) number of possible committee having 3 boys =  10C3\r<BR>\n" );
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document.write( "probability = 10C3 /16C3\r<BR>\n" );
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document.write( "ii) number of possible committee having exactly 2 boys =  10C2* 6C1\r<BR>\n" );
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document.write( "probability = 10C2*6C1  /16C3\r<BR>\n" );
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document.write( "iii) number of possible committee having at least one  boy =  16C3 - 6C3 \r<BR>\n" );
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document.write( "probability = [ 16C3 - 6C3 ]/16C3\r<BR>\n" );
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document.write( "iv) number of possible committee having exactly 2 girls =  6C2* 10C1\r<BR>\n" );
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document.write( "probability = 6C2*10C1  /16C3\r<BR>\n" );
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document.write( "If any doubt, feel free to contact..\r<BR>\n" );
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