document.write( "Question 1119078: Ten students, A, B,..., are in a class. A committee of three is chosen at random to represent the class. Find the
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Algebra.Com's Answer #734541 by ikleyn(52786)\"\" \"About 
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document.write( "Of 10 students of the class, you can form  \"C%5B10%5D%5E3\" = \"%2810%2A9%2A8%29%2F%281%2A2%2A3%29\" = 120 triples (triplets), in all.\r\n" );
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document.write( "(a) A belongs to the committee;        You can form  \"%289%2A8%29%2F2\" = 36 such triples, by adding two other of remaining 9\r\n" );
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document.write( "                                       students of the class.\r\n" );
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document.write( "                                       So the probability under the question is  \"36%2F120\" = \"3%2F10\" = 0.3 = 30%\r\n" );
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document.write( "(b) B belongs to the committee;        Same answer (and same solution) as (a).\r\n" );
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document.write( "(c) A and B belong to the committee;   You can form only 8 such triples by adding any of remaining 8 students to A and B.\r\n" );
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document.write( "                                       The answer is  \"8%2F120\" = \"1%2F15\".\r\n" );
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document.write( "(d) A or B belong to the committee;    Add (a) with (b) and subtract (c):\r\n" );
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document.write( "                                       \"3%2F10+%2B+3%2F10+-+1%2F15\" = \"9%2F30+%2B+9%2F30+-+2%2F30\" = \"16%2F30\" = \"8%2F15\".\r\n" );
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