document.write( "Question 1116838: The reading list for a literature class has 7 fiction and 9 nonfiction books. A student is to write a report on 5 books from the list during the semester. The reports must include at least 1 and at most 4 reports of fiction books. In how many ways can the selection of books be made? \n" ); document.write( "

Algebra.Com's Answer #732481 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "All possible opportunities are listed in the table below (two most-left columns)\r\n" );
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document.write( " #of fiction books   #of non-fiction books  #of combinations  value\r\n" );
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document.write( "        1                     4                          882\r\n" );
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document.write( "        2                     3                         1764\r\n" );
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document.write( "        3                     2                         1260\r\n" );
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document.write( "        4                     1                          315\r\n" );
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document.write( "The third column contains the formulas for the number of selections.\r\n" );
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document.write( "The fourth column contains the values calculated with these formulas:\r\n" );
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document.write( " =  = 882;\r\n" );
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document.write( " =  = 1764;\r\n" );
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document.write( " =  = 1260;\r\n" );
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document.write( " =  = 315.\r\n" );
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document.write( "Now your last step is to add all four numbers in the right column:  882 + 1764 + 1260 + 315 = 4221.\r\n" );
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document.write( "Answer.  The selection of books can be made in 4221 ways.\r\n" );
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