document.write( "Question 1118644: there are 100 students at a sports award dinner where soccer players and volleyball players are being honored. given any two players at least one is a soccer player. if there is at least one volleyball player, how many soccer players are there \n" ); document.write( "

Algebra.Com's Answer #734016 by ikleyn(52890) $\"\"$ $\"About$

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\n" ); document.write( "there are 100 students at a sports award dinner where soccer players and volleyball players are being honored.
\n" ); document.write( "Given $\"highlight%28that%29\"$ $\"highlight%28of%29\"$ any two players at least one is a soccer player.
\n" ); document.write( "If there is at least one volleyball player, how many soccer players are there.
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\n" ); document.write( "\n" ); document.write( " Notice that I edited your post to make the formulation sensible and correct.\r
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\n" ); document.write( "\n" ); document.write( "Answer. There are 99 soccer players at the dinner.\r
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document.write( "It follows from the condition, that there is ONE and only ONE volleyball player at the dinner.\r\n" );
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document.write( "Indeed, had there were two or more volleyball players at the dinner, they would make a pair of two volleyball players - the pair \r\n" );
document.write( "with NO soccer players, which contradicts to the condition.\r\n" );
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document.write( "It gives the answer.\r\n" );
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