document.write( "Question 434741: How many ways can the letters in the word smile be arranged if the first letter must be a vowel? \n" ); document.write( "
Algebra.Com's Answer #301091 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
How many ways can the letters in the word smile be arranged if the first letter must be a vowel?
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document.write( "There are 2 vowels so there are 2 ways to choose the 1st letter.\r\n" );
document.write( "For each of those 2 ways to choose the 1st letter there are 4 remaining\r\n" );
document.write( "   letters to choose for the the 2nd letter.  That's 2*4 ways to choose\r\n" );
document.write( "   the first 2 letters.\r\n" );
document.write( "For each of those 2*4 ways to choose the 1st 2 letters there are 3 remaining\r\n" );
document.write( "   letters to choose for the the 3rd letter.  That's 2*4*3 ways to choose\r\n" );
document.write( "   the first 3 letters.\r\n" );
document.write( "For each of those 2*4*3 ways to choose the 1st 3 letters there are 2 remaining\r\n" );
document.write( "   letters to choose for the the 4th letter.  That's 2*4*3*2 ways to choose\r\n" );
document.write( "   the first 4 letters.\r\n" );
document.write( "For each of those 2*4*3*2 ways to choose the 1st 4 letters there is only 1\r\n" );
document.write( "remaining letter to choose for the the 5th letter.  That's 2*4*3*2*1 ways to\r\n" );
document.write( "choose all 5 letters.\r\n" );
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document.write( "So the answer is 2*4*3*2*1 = 48.  Here they all are:\r\n" );
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document.write( "1. EILMS\r\n" );
document.write( "2. EILSM\r\n" );
document.write( "3. EIMLS\r\n" );
document.write( "4. EIMSL\r\n" );
document.write( "5. EISLM\r\n" );
document.write( "6. EISML\r\n" );
document.write( "7. ELIMS\r\n" );
document.write( "8. ELISM\r\n" );
document.write( "9. ELMIS\r\n" );
document.write( "10. ELMSI\r\n" );
document.write( "11. ELSIM\r\n" );
document.write( "12. ELSMI\r\n" );
document.write( "13. EMILS\r\n" );
document.write( "14. EMISL\r\n" );
document.write( "15. EMLIS\r\n" );
document.write( "16. EMLSI\r\n" );
document.write( "17. EMSIL\r\n" );
document.write( "18. EMSLI\r\n" );
document.write( "19. ESILM\r\n" );
document.write( "20. ESIML\r\n" );
document.write( "21. ESLIM\r\n" );
document.write( "22. ESLMI\r\n" );
document.write( "23. ESMIL\r\n" );
document.write( "24. ESMLI\r\n" );
document.write( "25. IELMS\r\n" );
document.write( "26. IELSM\r\n" );
document.write( "27. IEMLS\r\n" );
document.write( "28. IEMSL\r\n" );
document.write( "29. IESLM\r\n" );
document.write( "30. IESML\r\n" );
document.write( "31. ILEMS\r\n" );
document.write( "32. ILESM\r\n" );
document.write( "33. ILMES\r\n" );
document.write( "34. ILMSE\r\n" );
document.write( "35. ILSEM\r\n" );
document.write( "36. ILSME\r\n" );
document.write( "37. IMELS\r\n" );
document.write( "38. IMESL\r\n" );
document.write( "39. IMLES\r\n" );
document.write( "40. IMLSE\r\n" );
document.write( "41. IMSEL\r\n" );
document.write( "42. IMSLE\r\n" );
document.write( "43. ISELM\r\n" );
document.write( "44. ISEML\r\n" );
document.write( "45. ISLEM\r\n" );
document.write( "46. ISLME\r\n" );
document.write( "47. ISMEL\r\n" );
document.write( "48. ISMLE\r\n" );
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document.write( "Edwin
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