document.write( "Question 1135152: How many different five-letter strings can be formed from the letters A, B, C, D, E (repeats allowed) if the first letter must be a vowel and the last letter must be a consonant?
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Algebra.Com's Answer #752703 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
A sample string would be \r\n" );
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document.write( "ECADB\r\n" );
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document.write( "Choose the MOST RESTRICTIVE things to choose first.\r\n" );
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document.write( "Among A, B, C, D, E there are 2 vowels and 3 consonants.\r\n" );
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document.write( "We can choose the vowel for the first letter in 2 ways, (A or E)\r\n" );
document.write( "That leaves 1 vowel and 2 consonants.\r\n" );
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document.write( "We can choose the consonant for the last letter in 3 ways, (B, C or D)\r\n" );
document.write( "That leaves 3 letters to choose.\r\n" );
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document.write( "We can choose the second letter any of 3 ways.\r\n" );
document.write( "That leaves 2 letters to choose.\r\n" );
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document.write( "We can choose the third letter either of 2 ways.\r\n" );
document.write( "That leaves only 1 letter to choose.\r\n" );
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document.write( "We must choose the fourth letter as that 1 remaining way.\r\n" );
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document.write( "Answer: multiply them: 2∙3∙3∙2∙1 = 36 ways.\r\n" );
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document.write( "FYI, here are all 36 ways, computer generated:\r\n" );
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document.write( " 1.  ABCED\r\n" );
document.write( " 2.  ABDEC\r\n" );
document.write( " 3.  ABECD\r\n" );
document.write( " 4.  ABEDC\r\n" );
document.write( " 5.  ACBED\r\n" );
document.write( " 6.  ACDEB\r\n" );
document.write( " 7.  ACEBD\r\n" );
document.write( " 8.  ACEDB\r\n" );
document.write( " 9.  ADBEC\r\n" );
document.write( "10.  ADCEB\r\n" );
document.write( "11.  ADEBC\r\n" );
document.write( "12.  ADECB\r\n" );
document.write( "13.  AEBCD\r\n" );
document.write( "14.  AEBDC\r\n" );
document.write( "15.  AECBD\r\n" );
document.write( "16.  AECDB\r\n" );
document.write( "17.  AEDBC\r\n" );
document.write( "18.  AEDCB\r\n" );
document.write( "19.  EABCD\r\n" );
document.write( "20.  EABDC\r\n" );
document.write( "21.  EACBD\r\n" );
document.write( "22.  EACDB\r\n" );
document.write( "23.  EADBC\r\n" );
document.write( "24.  EADCB\r\n" );
document.write( "25.  EBACD\r\n" );
document.write( "26.  EBADC\r\n" );
document.write( "27.  EBCAD\r\n" );
document.write( "28.  EBDAC\r\n" );
document.write( "29.  ECABD\r\n" );
document.write( "30.  ECADB\r\n" );
document.write( "31.  ECBAD\r\n" );
document.write( "32.  ECDAB\r\n" );
document.write( "33.  EDABC\r\n" );
document.write( "34.  EDACB\r\n" );
document.write( "35.  EDBAC\r\n" );
document.write( "36.  EDCAB\r\n" );
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document.write( "Edwin
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