document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=386927>Question 386927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a class has 34 students of which 12 are female and the rest are male.<BR>\n" );
document.write( "(a) We wish to form a committee of 6 people from the students. How many distinct committees can be formed?\r<BR>\n" );
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document.write( "b) If there is a restriction that the committee has to be 3 male and 3 female. Now how many distinct committees can we form?\r<BR>\n" );
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document.write( "Thank-you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #273494 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=273494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  If a class has 34 students of which 12 are female and the rest are male.<BR>\n" );
document.write( "(a) We wish to form a committee of 6 people from the students. How many distinct committees can be formed? <BR>\n" );
document.write( "Ans: 34C6 = 1,344,904<BR>\n" );
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document.write( "b) If there is a restriction that the committee has to be 3 male and 3 female. Now how many distinct committees can we form? <BR>\n" );
document.write( "# of ways to pick 3 male: 22C3<BR>\n" );
document.write( "# of ways to pick 3 female: 12C3<BR>\n" );
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document.write( "# of ways to pick 3male and 3femaile = 22C3*12C3 = 338,800<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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