document.write( "Question 1178039: In a class of 50 students, 24 like football, 21 basketball and 18 cricket.
\n" ); document.write( "Six like football and basketball only, 3 like basketball only, 5 like all
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\n" ); document.write( "(β) exactly one of the games. \n" ); document.write( "
Algebra.Com's Answer #807233 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "s = the number who like football but not basketball or cricket\r\n" );
document.write( "t = the number who like football and basketball, but not cricket\r\n" );
document.write( "u = the number who like basketball, but not football or cricket\r\n" );
document.write( "v = the number who like football and cricket, but not basketball \r\n" );
document.write( "w = the number who like football, cricket, and basketball \r\n" );
document.write( "x = the number who like basketball and cricket, but not football \r\n" );
document.write( "y = the number who like cricket, but not football or basketball \r\n" );
document.write( "z = the number who did not like football, basketball, nor cricket.\r\n" );
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\n" ); document.write( "5 like all three games
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document.write( "So w=5:\r\n" );
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\n" ); document.write( "six like football and basketball only.
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document.write( "So t=6\r\n" );
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3 like basketball only.
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document.write( "So u=3\r\n" );
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\n" ); document.write( "14 did not like any of the three games
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document.write( "So z=14\r\n" );
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21 liked basketball.
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document.write( "So t+u+w+x=21. That's\r\n" );
document.write( "   6+3+5+x=21\r\n" );
document.write( "      14+x=21\r\n" );
document.write( "         x=7\r\n" );
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24 like football.
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document.write( "So s+t+v+w=24\r\n" );
document.write( "   s+6+v+5=24\r\n" );
document.write( "    s+v+11=24\r\n" );
document.write( "       s+v=13\r\n" );
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18 like cricket.
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document.write( "So v+w+x+y=18\r\n" );
document.write( "   v+5+7+y=18\r\n" );
document.write( "    v+y+12=18\r\n" );
document.write( "       v+y=6\r\n" );
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class of 50 students
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document.write( "So s+t+u+v+w+x+y+z=50\r\n" );
document.write( "   s+6+3+v+5+7+y+14=50\r\n" );
document.write( "           s+v+y+35=50 \r\n" );
document.write( "              s+v+y=15\r\n" );
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document.write( "Subtract        v+y=6\r\n" );
document.write( "Get               s=9\r\n" );
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document.write( "Substitute in   s+v=13\r\n" );
document.write( "                9+v=13\r\n" );
document.write( "                  v=4\r\n" );
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document.write( "Substitute in   v+y=6\r\n" );
document.write( "                4+y=6\r\n" );
document.write( "                  y=2\r\n" );
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(ii) Find the number of students who like:
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document.write( "that's v=4\r\n" );
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(β) exactly one of the games.
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document.write( "That's s+u+y=9+3+2=14 \r\n" );
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document.write( "Edwin

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