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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document.write( "probability that:
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document.write( "(a) A belongs to the committee;
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document.write( "(b) B belongs to the committee;
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document.write( "(c) A and B belong to the committee;
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document.write( "(d) A or B belong to the committee; \n" );
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Algebra.Com's Answer #734541 by ikleyn(52786)  You can put this solution on YOUR website! . \n" );
document.write( "Ten students, A, B,..., are in a class. A committee of three is chosen at random to represent the class. Find the \n" );
document.write( "probability that:\r \n" );
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document.write( "Of 10 students of the class, you can form = = 120 triples (triplets), in all.\r\n" );
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document.write( "(a) A belongs to the committee; You can form = 36 such triples, by adding two other of remaining 9\r\n" );
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document.write( " So the probability under the question is = = 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 = .\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( " = = = .\r\n" );
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document.write( "Solved.\r \n" );
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