document.write( "Question 1124667: An eight-volume set of reference books is kept on a shelf. The books are used frequently and put back
\n" ); document.write( "in random order.
\n" ); document.write( "a. How many ways can the eight books be arranged on the shelf ?
\n" ); document.write( "b. How many ways can the books be arranged so that Volume 5 will be the rightmost book?
\n" ); document.write( "c. Use the answers from (a) and (b) to find the probability that Volume 5 will be the rightmost
\n" ); document.write( "book if the books are arranged at random.
\n" ); document.write( "d. Explain how to compute the probability in (c) using another method.
\n" ); document.write( "e. If the books are arranged randomly, what is the probability that the last book on the right is
\n" ); document.write( "an even-numbered volume? Explain how you determined this probability.
\n" ); document.write( "f. How many ways can the books be arranged so that they are in the correct order, with volume
\n" ); document.write( "numbers increasing from left to right?
\n" ); document.write( "g. How many ways can the books be arranged so that they are out of order?
\n" ); document.write( "h. What is the probability that the books happen to be in the correct order? \n" ); document.write( "

Algebra.Com's Answer #741006 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "a.  How many ways can the eight books be arranged on the shelf ?\r\n" );
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document.write( "    8! = 8*7*6*5*4*3*2*1.\r\n" );
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document.write( "b.  How many ways can the books be arranged so that Volume 5 will be the rightmost book?\r\n" );
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document.write( "    7! = 7*6*5*4*3*2*1.\r\n" );
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document.write( "c.  Use the answers from (a) and (b) to find the probability that Volume 5 will be the rightmost\r\n" );
document.write( "book if the books are arranged at random.\r\n" );
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document.write( "    P =  = .\r\n" );
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document.write( "d.  Explain how to compute the probability in (c) using another method.\r\n" );
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document.write( "e.  If the books are arranged randomly, what is the probability that the last book on the right is\r\n" );
document.write( "an even-numbered volume? Explain how you determined this probability.\r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "f.  How many ways can the books be arranged so that they are in the correct order, with volume\r\n" );
document.write( "numbers increasing from left to right?\r\n" );
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document.write( "    1 way.\r\n" );
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document.write( "g.  How many ways can the books be arranged so that they are out of order?\r\n" );
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document.write( "    8! - 1.\r\n" );
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document.write( "h.  What is the probability that the books happen to be in the correct order? \r\n" );
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document.write( "    .\r\n" );
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