document.write( "Question 1209003: Suppose we want to choose 6 letters, without replacement, from 8 distinct letters.
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Algebra.Com's Answer #847561 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Suppose we want to choose 6 letters, without replacement, from 8 distinct letters.
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document.write( "(a)  If the order does not matter, then the question is about combinations.\r\n" );
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document.write( "     The number of choices is the number of combinations of 8 distinct letters taken 6 at a time\r\n" );
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document.write( "          =  =  = 4*7 = 28.\r\n" );
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document.write( "(b)  If the order does matter, then the question is about permutations.\r\n" );
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document.write( "         1st letter can be any of 8 letters, giving 8 options.\r\n" );
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document.write( "         2nd letter can be any of 7 remaining letters, giving 7 options.\r\n" );
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document.write( "         3rd letter can be any of 6 remaining letters, giving 6 options.\r\n" );
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document.write( "         4th letter can be any of 5 remaining letters, giving 5 options.\r\n" );
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document.write( "         5th letter can be any of 4 remaining letters, giving 4 options.\r\n" );
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document.write( "         6th letter can be any of 3 remaining letters, giving 3 options.\r\n" );
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document.write( "     The total number of possible choices in this case is  8*7*6*5*4*3 =20160.\r\n" );
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