document.write( "Question 207307This question is from textbook Thinking Mathmatically
\n" ); document.write( ": I am trying to see if I figured this out correctly or not, the question is this: three men and three women line up at the check out counter, how many different ways can they line up. I got 22 different ways but want to check my answer, THANKS \n" ); document.write( "
Algebra.Com's Answer #156744 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "No, that's wrong.  \r\n" );
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document.write( "There are 6 people.\r\n" );
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document.write( "There are 6 people to choose for the 1st in line, AND\r\n" );
document.write( "that leaves 5 people to choose for the 2nd in line, AND\r\n" );
document.write( "that leaves 4 people to choose for the 3rd in line, AND\r\n" );
document.write( "that leaves 3 people to choose for the 4th in line, AND\r\n" );
document.write( "that leaves 2 people to choose for the 5th in line, AND\r\n" );
document.write( "that leaves only 1 person to choose for the 6th, or last, in line.\r\n" );
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document.write( "AND means \"times\", so the answer is 6*5*4*3*2*1= 6! = 720\r\n" );
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document.write( "Does that sound like too many ways to you?  Then take a look:\r\n" );
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document.write( "Suppose the 3 women are Abby, Beth, and Cora, and \r\n" );
document.write( "the three men are  Dave, Erin, and Fred.\r\n" );
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document.write( "Then here are all 720 ways they can line up:\r\n" );
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document.write( "1.  Abby, Beth, Cora, Dave, Erin, Fred\r\n" );
document.write( "2.  Abby, Beth, Cora, Dave, Fred, Erin\r\n" );
document.write( "3.  Abby, Beth, Cora, Erin, Dave, Fred\r\n" );
document.write( "4.  Abby, Beth, Cora, Erin, Fred, Dave\r\n" );
document.write( "5.  Abby, Beth, Cora, Fred, Dave, Erin\r\n" );
document.write( "6.  Abby, Beth, Cora, Fred, Erin, Dave\r\n" );
document.write( "7.  Abby, Beth, Dave, Cora, Erin, Fred\r\n" );
document.write( "8.  Abby, Beth, Dave, Cora, Fred, Erin\r\n" );
document.write( "9.  Abby, Beth, Dave, Erin, Cora, Fred\r\n" );
document.write( "10.  Abby, Beth, Dave, Erin, Fred, Cora\r\n" );
document.write( "11.  Abby, Beth, Dave, Fred, Cora, Erin\r\n" );
document.write( "12.  Abby, Beth, Dave, Fred, Erin, Cora\r\n" );
document.write( "13.  Abby, Beth, Erin, Cora, Dave, Fred\r\n" );
document.write( "14.  Abby, Beth, Erin, Cora, Fred, Dave\r\n" );
document.write( "15.  Abby, Beth, Erin, Dave, Cora, Fred\r\n" );
document.write( "16.  Abby, Beth, Erin, Dave, Fred, Cora\r\n" );
document.write( "17.  Abby, Beth, Erin, Fred, Cora, Dave\r\n" );
document.write( "18.  Abby, Beth, Erin, Fred, Dave, Cora\r\n" );
document.write( "19.  Abby, Beth, Fred, Cora, Dave, Erin\r\n" );
document.write( "20.  Abby, Beth, Fred, Cora, Erin, Dave\r\n" );
document.write( "21.  Abby, Beth, Fred, Dave, Cora, Erin\r\n" );
document.write( "22.  Abby, Beth, Fred, Dave, Erin, Cora\r\n" );
document.write( "23.  Abby, Beth, Fred, Erin, Cora, Dave\r\n" );
document.write( "24.  Abby, Beth, Fred, Erin, Dave, Cora\r\n" );
document.write( "25.  Abby, Cora, Beth, Dave, Erin, Fred\r\n" );
document.write( "26.  Abby, Cora, Beth, Dave, Fred, Erin\r\n" );
document.write( "27.  Abby, Cora, Beth, Erin, Dave, Fred\r\n" );
document.write( "28.  Abby, Cora, Beth, Erin, Fred, Dave\r\n" );
document.write( "29.  Abby, Cora, Beth, Fred, Dave, Erin\r\n" );
document.write( "30.  Abby, Cora, Beth, Fred, Erin, Dave\r\n" );
document.write( "31.  Abby, Cora, Dave, Beth, Erin, Fred\r\n" );
document.write( "32.  Abby, Cora, Dave, Beth, Fred, Erin\r\n" );
document.write( "33.  Abby, Cora, Dave, Erin, Beth, Fred\r\n" );
document.write( "34.  Abby, Cora, Dave, Erin, Fred, Beth\r\n" );
document.write( "35.  Abby, Cora, Dave, Fred, Beth, Erin\r\n" );
document.write( "36.  Abby, Cora, Dave, Fred, Erin, Beth\r\n" );
document.write( "37.  Abby, Cora, Erin, Beth, Dave, Fred\r\n" );
document.write( "38.  Abby, Cora, Erin, Beth, Fred, Dave\r\n" );
document.write( "39.  Abby, Cora, Erin, Dave, Beth, Fred\r\n" );
document.write( "40.  Abby, Cora, Erin, Dave, Fred, Beth\r\n" );
document.write( "41.  Abby, Cora, Erin, Fred, Beth, Dave\r\n" );
document.write( "42.  Abby, Cora, Erin, Fred, Dave, Beth\r\n" );
document.write( "43.  Abby, Cora, Fred, Beth, Dave, Erin\r\n" );
document.write( "44.  Abby, Cora, Fred, Beth, Erin, Dave\r\n" );
document.write( "45.  Abby, Cora, Fred, Dave, Beth, Erin\r\n" );
document.write( "46.  Abby, Cora, Fred, Dave, Erin, Beth\r\n" );
document.write( "47.  Abby, Cora, Fred, Erin, Beth, Dave\r\n" );
document.write( "48.  Abby, Cora, Fred, Erin, Dave, Beth\r\n" );
document.write( "49.  Abby, Dave, Beth, Cora, Erin, Fred\r\n" );
document.write( "50.  Abby, Dave, Beth, Cora, Fred, Erin\r\n" );
document.write( "51.  Abby, Dave, Beth, Erin, Cora, Fred\r\n" );
document.write( "52.  Abby, Dave, Beth, Erin, Fred, Cora\r\n" );
document.write( "53.  Abby, Dave, Beth, Fred, Cora, Erin\r\n" );
document.write( "54.  Abby, Dave, Beth, Fred, Erin, Cora\r\n" );
document.write( "55.  Abby, Dave, Cora, Beth, Erin, Fred\r\n" );
document.write( "56.  Abby, Dave, Cora, Beth, Fred, Erin\r\n" );
document.write( "57.  Abby, Dave, Cora, Erin, Beth, Fred\r\n" );
document.write( "58.  Abby, Dave, Cora, Erin, Fred, Beth\r\n" );
document.write( "59.  Abby, Dave, Cora, Fred, Beth, Erin\r\n" );
document.write( "60.  Abby, Dave, Cora, Fred, Erin, Beth\r\n" );
document.write( "61.  Abby, Dave, Erin, Beth, Cora, Fred\r\n" );
document.write( "62.  Abby, Dave, Erin, Beth, Fred, Cora\r\n" );
document.write( "63.  Abby, Dave, Erin, Cora, Beth, Fred\r\n" );
document.write( "64.  Abby, Dave, Erin, Cora, Fred, Beth\r\n" );
document.write( "65.  Abby, Dave, Erin, Fred, Beth, Cora\r\n" );
document.write( "66.  Abby, Dave, Erin, Fred, Cora, Beth\r\n" );
document.write( "67.  Abby, Dave, Fred, Beth, Cora, Erin\r\n" );
document.write( "68.  Abby, Dave, Fred, Beth, Erin, Cora\r\n" );
document.write( "69.  Abby, Dave, Fred, Cora, Beth, Erin\r\n" );
document.write( "70.  Abby, Dave, Fred, Cora, Erin, Beth\r\n" );
document.write( "71.  Abby, Dave, Fred, Erin, Beth, Cora\r\n" );
document.write( "72.  Abby, Dave, Fred, Erin, Cora, Beth\r\n" );
document.write( "73.  Abby, Erin, Beth, Cora, Dave, Fred\r\n" );
document.write( "74.  Abby, Erin, Beth, Cora, Fred, Dave\r\n" );
document.write( "75.  Abby, Erin, Beth, Dave, Cora, Fred\r\n" );
document.write( "76.  Abby, Erin, Beth, Dave, Fred, Cora\r\n" );
document.write( "77.  Abby, Erin, Beth, Fred, Cora, Dave\r\n" );
document.write( "78.  Abby, Erin, Beth, Fred, Dave, Cora\r\n" );
document.write( "79.  Abby, Erin, Cora, Beth, Dave, Fred\r\n" );
document.write( "80.  Abby, Erin, Cora, Beth, Fred, Dave\r\n" );
document.write( "81.  Abby, Erin, Cora, Dave, Beth, Fred\r\n" );
document.write( "82.  Abby, Erin, Cora, Dave, Fred, Beth\r\n" );
document.write( "83.  Abby, Erin, Cora, Fred, Beth, Dave\r\n" );
document.write( "84.  Abby, Erin, Cora, Fred, Dave, Beth\r\n" );
document.write( "85.  Abby, Erin, Dave, Beth, Cora, Fred\r\n" );
document.write( "86.  Abby, Erin, Dave, Beth, Fred, Cora\r\n" );
document.write( "87.  Abby, Erin, Dave, Cora, Beth, Fred\r\n" );
document.write( "88.  Abby, Erin, Dave, Cora, Fred, Beth\r\n" );
document.write( "89.  Abby, Erin, Dave, Fred, Beth, Cora\r\n" );
document.write( "90.  Abby, Erin, Dave, Fred, Cora, Beth\r\n" );
document.write( "91.  Abby, Erin, Fred, Beth, Cora, Dave\r\n" );
document.write( "92.  Abby, Erin, Fred, Beth, Dave, Cora\r\n" );
document.write( "93.  Abby, Erin, Fred, Cora, Beth, Dave\r\n" );
document.write( "94.  Abby, Erin, Fred, Cora, Dave, Beth\r\n" );
document.write( "95.  Abby, Erin, Fred, Dave, Beth, Cora\r\n" );
document.write( "96.  Abby, Erin, Fred, Dave, Cora, Beth\r\n" );
document.write( "97.  Abby, Fred, Beth, Cora, Dave, Erin\r\n" );
document.write( "98.  Abby, Fred, Beth, Cora, Erin, Dave\r\n" );
document.write( "99.  Abby, Fred, Beth, Dave, Cora, Erin\r\n" );
document.write( "100.  Abby, Fred, Beth, Dave, Erin, Cora\r\n" );
document.write( "101.  Abby, Fred, Beth, Erin, Cora, Dave\r\n" );
document.write( "102.  Abby, Fred, Beth, Erin, Dave, Cora\r\n" );
document.write( "103.  Abby, Fred, Cora, Beth, Dave, Erin\r\n" );
document.write( "104.  Abby, Fred, Cora, Beth, Erin, Dave\r\n" );
document.write( "105.  Abby, Fred, Cora, Dave, Beth, Erin\r\n" );
document.write( "106.  Abby, Fred, Cora, Dave, Erin, Beth\r\n" );
document.write( "107.  Abby, Fred, Cora, Erin, Beth, Dave\r\n" );
document.write( "108.  Abby, Fred, Cora, Erin, Dave, Beth\r\n" );
document.write( "109.  Abby, Fred, Dave, Beth, Cora, Erin\r\n" );
document.write( "110.  Abby, Fred, Dave, Beth, Erin, Cora\r\n" );
document.write( "111.  Abby, Fred, Dave, Cora, Beth, Erin\r\n" );
document.write( "112.  Abby, Fred, Dave, Cora, Erin, Beth\r\n" );
document.write( "113.  Abby, Fred, Dave, Erin, Beth, Cora\r\n" );
document.write( "114.  Abby, Fred, Dave, Erin, Cora, Beth\r\n" );
document.write( "115.  Abby, Fred, Erin, Beth, Cora, Dave\r\n" );
document.write( "116.  Abby, Fred, Erin, Beth, Dave, Cora\r\n" );
document.write( "117.  Abby, Fred, Erin, Cora, Beth, Dave\r\n" );
document.write( "118.  Abby, Fred, Erin, Cora, Dave, Beth\r\n" );
document.write( "119.  Abby, Fred, Erin, Dave, Beth, Cora\r\n" );
document.write( "120.  Abby, Fred, Erin, Dave, Cora, Beth\r\n" );
document.write( "121.  Beth, Abby, Cora, Dave, Erin, Fred\r\n" );
document.write( "122.  Beth, Abby, Cora, Dave, Fred, Erin\r\n" );
document.write( "123.  Beth, Abby, Cora, Erin, Dave, Fred\r\n" );
document.write( "124.  Beth, Abby, Cora, Erin, Fred, Dave\r\n" );
document.write( "125.  Beth, Abby, Cora, Fred, Dave, Erin\r\n" );
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document.write( "241.  Cora, Abby, Beth, Dave, Erin, Fred\r\n" );
document.write( "242.  Cora, Abby, Beth, Dave, Fred, Erin\r\n" );
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document.write( "257.  Cora, Abby, Erin, Fred, Beth, Dave\r\n" );
document.write( "258.  Cora, Abby, Erin, Fred, Dave, Beth\r\n" );
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document.write( "674.  Fred, Dave, Abby, Beth, Erin, Cora\r\n" );
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document.write( "\r\n" );
document.write( "Edwin
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