document.write( "Question 1106805: In how many different ways can 6 persons sit down on 8 chairs in a straight line? \n" ); document.write( "

Algebra.Com's Answer #721785 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "In  8*7*6*5*4*3 = 20160 different ways.\r\n" );
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document.write( "1-st person can take any of           8 chairs.           - 8 possibilities.\r\n" );
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document.write( "2-nd person can take any of remaining 7 chairs.           - 7 possibilities.\r\n" );
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document.write( "3-rd person can take any of remaining 6 chairs.           - 6 possibilities.\r\n" );
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document.write( "  . . . .  And so on  . . . . \r\n" );
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document.write( "6-th person can take any of remaining 3 chairs.           - 3 possibilities.\r\n" );
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document.write( "Thus there are  8*7*6*5*4*3 = 20160 different ways.\r\n" );
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