document.write( "Question 1180287: Of the 15 teams in the NHL Eastern Conference, 3 of them are canadian based cities. Each year 8 of these teams qualify for the playoffs. Assuming all 15 teams have an equal chance, what is the probability that at least one of the canadian teams make the playoffs \n" ); document.write( "
Algebra.Com's Answer #809911 by ikleyn(52847)\"\" \"About 
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document.write( "The full space of events is the set of all combinations of 15 teams taken 8 at a time\r\n" );
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document.write( "    \"N%5Btotal%5D\" = \"C%5B15%5D%5E8\" = 6435 elements.\r\n" );
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document.write( "The favorable events are those combinations of this set which contain 3 canadian teams.\r\n" );
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document.write( "The number of such combinations is\r\n" );
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document.write( "    \"N%5Bfavorable%5D\" = \"C%5B15-3%5D%5E%288-3%29\" = \"C%5B12%5D%5E5\" = 792.\r\n" );
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document.write( "The probability the problem asks for is the ratio\r\n" );
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document.write( "    P = \"favorable%2Ftotal\" = \"792%2F6435\" = \"8%2F65\".    ANSWER\r\n" );
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