document.write( "Question 1203031: If 3 books are picked from the shelf containing 5 novels 3 books of poems and a dictionary what is the prbability that the dictionary is selected.
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Algebra.Com's Answer #838262 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "If 3 books are picked from the shelf containing 5 novels, 3 books of poems and a dictionary, then
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document.write( "(1) The number of all possible triples of books is  \r\n" );
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document.write( "        total =  =  =  = 84.\r\n" );
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document.write( "    The number of all favorable triples is\r\n" );
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document.write( "        favorable =  =  =  = 4*7 = 28.\r\n" );
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document.write( "    THEREFORE, the answer to question (1) is\r\n" );
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document.write( "        P =  =  = .\r\n" );
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document.write( "(2)  Having the number of total triples just calculated in (a) as 84,\r\n" );
document.write( "     we only need to calculate the number of favorable triples, which in this case is\r\n" );
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document.write( "        favorable =  =  = 5*3 = 15.\r\n" );
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document.write( "    THEREFORE, the answer to question (2) is\r\n" );
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document.write( "        P =  =  = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Since in this problem the order of selected books does not matter,
\n" ); document.write( "we use COMBINATIONS to calculate the number of total triples and favorable triples.\r
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\n" ); document.write( "\n" ); document.write( "On Combinations, see introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Combinations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Combinations\r
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