document.write( "Question 585674: how many different arrangements are there of the letters p,m,s,a \n" ); document.write( "
Algebra.Com's Answer #373450 by Edwin McCravy(20055)\"\" \"About 
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document.write( "You can choose the first letter any of 4 ways.\r\n" );
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document.write( "For each of the 4 ways you can choose the first letter, you can choose the\r\n" );
document.write( "second letter as any of 3 letters that are left.  \r\n" );
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document.write( "That's 4×3 ways you can choose the first 2 letters.\r\n" );
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document.write( "For each of the 4×3 ways you can choose the first 2 letters, you can choose the\r\n" );
document.write( "3rd letter as either of the 2 letters that are left.\r\n" );
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document.write( "That's 4×3×2 ways you can choose the first 3 letters.\r\n" );
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document.write( "For each of the 4×3×2 ways you can choose the first 3 letters, you can only\r\n" );
document.write( "choose the 4th letter as the only letter that is left.\r\n" );
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document.write( "That's 4×3×2×1 ways to choose the 4 letters.\r\n" );
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document.write( "4×3×2×1 = 24. That's also called \"4 factorial\", written 4!\r\n" );
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document.write( "Here they all are:\r\n" );
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document.write( " 1.  p,m,s,a\r\n" );
document.write( " 2.  p,m,a,s\r\n" );
document.write( " 3.  p,s,m,a\r\n" );
document.write( " 4.  p,s,a,m\r\n" );
document.write( " 5.  p,a,m,s\r\n" );
document.write( " 6.  p,a,s,m\r\n" );
document.write( " 7.  m,p,s,a\r\n" );
document.write( " 8.  m,p,a,s\r\n" );
document.write( " 9.  m,s,p,a\r\n" );
document.write( "10.  m,s,a,p\r\n" );
document.write( "11.  m,a,p,s\r\n" );
document.write( "12.  m,a,s,p\r\n" );
document.write( "13.  s,p,m,a\r\n" );
document.write( "14.  s,p,a,m\r\n" );
document.write( "15.  s,m,p,a\r\n" );
document.write( "16.  s,m,a,p\r\n" );
document.write( "17.  s,a,p,m\r\n" );
document.write( "18.  s,a,m,p\r\n" );
document.write( "19.  a,p,m,s\r\n" );
document.write( "20.  a,p,s,m\r\n" );
document.write( "21.  a,m,p,s\r\n" );
document.write( "22.  a,m,s,p\r\n" );
document.write( "23.  a,s,p,m\r\n" );
document.write( "24.  a,s,m,p\r\n" );
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document.write( "Edwin
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