document.write( "Question 1147432: Joanna is running for senior class president. She asks her peers to complete a survey ranking the following in order of importance to them: sports, clubs, test scores, prom, school lunch quality, administrative consequences, and study halls.
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\n" ); document.write( "b). What fraction of the possible rankings put test scores first?\r
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Algebra.Com's Answer #768756 by ikleyn(52858) $\"\"$ $\"About$

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document.write( "(a)  There are 7 item in the Joanna's list.\r\n" );
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document.write( "     7 distinguishable items can be arranged by 7! = 7*6*5*4*3*2*1 = 5040 ways.\r\n" );
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document.write( "(b)  If \"scores\" are fixed as the first item in the list, it reduces the number of possible arrangements \r\n" );
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document.write( "     of all other items from 7! to 6! = 6*5*4*3*2*1 = 720.\r\n" );
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document.write( "     Therefore, the fraction of rankings with \"scores\" at the first position to the total number of arrangements is\r\n" );
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document.write( "           = .\r\n" );
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