document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122845>Question 1122845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each state of the 50 in the United States has two senators. In how many ways may<BR>\n" );
document.write( "a majority be achieved in the U.S. Senate? Ignore the possibility of absence or<BR>\n" );
document.write( "abstention. Assume that all senators are present and voting. </SPAN>\n" );
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document.write( "Each senator can vote either of 2 ways.<br><BR>\n" );
document.write( "The number of different ways the 100 senators can vote is 2^100.<br><BR>\n" );
document.write( "That total number of ways, 2^100, is equal to<br><BR>\n" );
document.write( "100C0 + 100C1 + 100C2 + ... + 100C99 + 100C100<br><BR>\n" );
document.write( "The only way not to get a majority (one way or the other) is if the vote is 50-50.  The number of ways that can happen is 100C50.<br><BR>\n" );
document.write( "So the number of ways to get a majority (one way or the other) is then<br><BR>\n" );
document.write( "2^100 - 100C50<br><BR>\n" );
document.write( "If you mean the number of ways of getting a majority \"yes\" votes, it is<br><BR>\n" );
document.write( "(2^100 - 100C50)/2 </SPAN>\n" );
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