document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=360140>Question 360140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways can a committee of 5 senators be selected from the 100 members of the U.S. Senate so that no two committee members are from the same state? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #257007 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=257007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "As there are 50 states and 2 senators from each states, total 100.\r<BR>\n" );
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document.write( "according to question, from each state at most 1 senator can be selected.\r<BR>\n" );
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document.write( "so, firstly we choose 5 states from which we have to select senators.\r<BR>\n" );
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document.write( "no. of ways to choose 5 states from total 50 states = 50C5 \r<BR>\n" );
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document.write( "now, from each state we can choose senator in 2 ways. \r<BR>\n" );
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document.write( "total no. of ways to choose 5 senator from given 5 particular states = 2^5 = 32\r<BR>\n" );
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document.write( "so, total no. of ways to select 5 senators = 50C5 * 32 \r<BR>\n" );
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document.write( "= 2118760 * 32 \r<BR>\n" );
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document.write( "= 67800320\r<BR>\n" );
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document.write( "ANSWER IS:  67800320.\r<BR>\n" );
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document.write( "Best of luck.......\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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