Algebra.Com's Answer #845955 by ikleyn(52781)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "One factory employs 35 male and 20 female workers. The factory owner wanted to form
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document.write( "a social committee for male and female workers with 5 randomly selected members:
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document.write( "What is the probability that the chairman of the committee,
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document.write( "Vice-Chairman of the Committee and the treasurer are male workers,
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document.write( "and the other members are from female Workers?
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document.write( "Total set consists of 35 + 20 = 55 persons.\r\n" );
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document.write( " P =  = 0.03575 (rounded). ANSWER\r\n" );
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document.write( "The meaning of this formula is clear from its structure.\r\n" );
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document.write( "Factor  is the probability that at first selection the chairman is a male worker.\r\n" );
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document.write( "Factor  is the probability that at second selection the vice-chairman is a male worker.\r\n" );
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document.write( "Factor  is the probability that at third selection the treasurer is a male worker.\r\n" );
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document.write( "Factors  and  are the probabilities that at fourth and fifth selections the members are female workers.\r\n" );
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document.write( "Another possible expression/formula is\r\n" );
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document.write( " P =  \r\n" );
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document.write( "with the use of combinations.\r\n" );
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document.write( "Both formulas are formally equivalent and produce the same value of the probability as the answer.\r\n" );
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document.write( " For completeness of explanation, notice that in this problem there is the set of three positions \r\n" );
document.write( " for male workers and another set of two positions for female workers.\r\n" );
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document.write( " But the order of males in their set of positions does not matter, \r\n" );
document.write( " as well as the order of female workers in their set of positions does not matter, too.\r\n" );
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document.write( " Therefore, this problem can be treated in terms of combinations.\r\n" );
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document.write( "Solved.\r
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