document.write( "Question 266012: This word problem is on combinations..
\n" ); document.write( "How many ways can a student select five questions from an exam containing nine questions?How many ways are there if he must answer the first question and the last question?
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Algebra.Com's Answer #195505 by Edwin McCravy(20056)\"\" \"About 
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This word problem is on combinations..
\n" ); document.write( "How many ways can a student select five questions from an exam containing nine questions?
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\n" ); document.write( "9 choose 5
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\n" ); document.write( "The combinations of 9 things taken 5 at a time
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\n" ); document.write( "\"9%21%2F%285%21%289-5%29%21%29=362880%2F%28%28120%29%2824%29%29=362880%2F2880=126\"
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\n" ); document.write( "How many ways are there if he must answer the first question and the last question?
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\n" ); document.write( "Then there is no choice for 2 of the 5, so the only selections which
\n" ); document.write( "can be made for the remaining 3 are from the remaining 7. So it's
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\n" ); document.write( "7 choose 3
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\n" ); document.write( "the combinations of 7 things taken 3 at a time:
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\n" ); document.write( "\"7%21%2F%283%21%287-3%29%21%29=5040%2F%28%286%29%2824%29%29=5040%2F144=35\"
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\n" ); document.write( "Edwin\r
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