document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216926>Question 216926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mathematics class consist of 15 boys and 25 girls.  A.In how many ways can the position of President, Vise-President, secretary, treasurer, and auditor be filled if no student may hold more than one position?  B.In how many ways can 5 representatives be chosen from the class?  C.If exactly 2 girls are chosen, in how many ways can the 5 representatives be chosen? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163684 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=163684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A mathematics class consist of 15 boys and 25 girls. <BR>\n" );
document.write( "A.In how many ways can the position of President, Vise-President, secretary, treasurer, and auditor be filled if no student may hold more than one position?<BR>\n" );
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document.write( "Ans: 50P5 =  50*49*48*47*46<BR>\n" );
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document.write( "B.In how many ways can 5 representatives be chosen from the class? <BR>\n" );
document.write( "Ans: 50C5 = 2118760<BR>\n" );
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document.write( "C.If exactly 2 girls are chosen, in how many ways can the 5 representatives be chosen?<BR>\n" );
document.write( "Ans: 25C2*15C3 = 300*455 = 136,500<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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