document.write( "Question 358137: Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:\r
\n" ); document.write( "\n" ); document.write( "a) The first letter must be Y\r
\n" ); document.write( "\n" ); document.write( "b) The vowels and consonants alternate,beginning with a consonant (Y is a consonanthere and Y does not have to be first)\r
\n" ); document.write( "\n" ); document.write( "Please help im lost with this question i would appreciate it \n" ); document.write( "
Algebra.Com's Answer #255644 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:\r
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document.write( "Y _ _ _ _\r\n" );
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document.write( "There is 1 way to choose the 1st letter, since it must be a Y.\r\n" );
document.write( "There are 4 letters left to choose for the 2nd letter.\r\n" );
document.write( "There will then be 3 letters left to choose for the 3rd letter.\r\n" );
document.write( "There will then be 2 letters left to choose for the 4th letter.\r\n" );
document.write( "There will then be only 1 letter left to choose the for 5th letter.\r\n" );
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document.write( "Answer 1*4*3*2*1 = 24.\r\n" );
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document.write( "Checking:\r\n" );
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document.write( " 1.  YOUNG\r\n" );
document.write( " 2.  YOUGN\r\n" );
document.write( " 3.  YONUG\r\n" );
document.write( " 4.  YONGU\r\n" );
document.write( " 5.  YOGUN\r\n" );
document.write( " 6.  YOGNU\r\n" );
document.write( " 7.  YUONG\r\n" );
document.write( " 8.  YUOGN\r\n" );
document.write( " 9.  YUNOG\r\n" );
document.write( "10.  YUNGO\r\n" );
document.write( "11.  YUGON\r\n" );
document.write( "12.  YUGNO\r\n" );
document.write( "13.  YNOUG\r\n" );
document.write( "14.  YNOGU\r\n" );
document.write( "15.  YNUOG\r\n" );
document.write( "16.  YNUGO\r\n" );
document.write( "17.  YNGOU\r\n" );
document.write( "18.  YNGUO\r\n" );
document.write( "19.  YGOUN\r\n" );
document.write( "20.  YGONU\r\n" );
document.write( "21.  YGUON\r\n" );
document.write( "22.  YGUNO\r\n" );
document.write( "23.  YGNOU\r\n" );
document.write( "24.  YGNUO\r\n" );
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\n" ); document.write( "b) The vowels and consonants alternate,beginning with a consonant (Y is a consonant there and Y does not have to be first)
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document.write( "They can only alternate this way:\r\n" );
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document.write( "consonate, vowel, consonant, vowel, consonant\r\n" );
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document.write( "There are 3 consonants to choose for the 1st letter.\r\n" );
document.write( "There are 2 vowels to choose for the 2nd letter.\r\n" );
document.write( "There will then be 2 consonants left to choose for the 3rd letter.\r\n" );
document.write( "There will then be only 1 vowel left to choose for the 4th letter.\r\n" );
document.write( "There will then be only 1 consonant left to choose for the 5th letter.\r\n" );
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document.write( "That's 3*2*2*1*1 = 12 ways\r\n" );
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document.write( "Checking:\r\n" );
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document.write( " 1.  YONUG\r\n" );
document.write( " 2.  YUNOG\r\n" );
document.write( " 3.  YOGUN\r\n" );
document.write( " 4.  YUGON\r\n" );
document.write( " 5.  NOYUG\r\n" );
document.write( " 6.  NUYOG\r\n" );
document.write( " 7.  NOGUY\r\n" );
document.write( " 8.  NUGOY\r\n" );
document.write( " 9.  GONUY\r\n" );
document.write( "10.  GUNOY\r\n" );
document.write( "11.  GOYUN\r\n" );
document.write( "12.  GUYON\r\n" );
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document.write( "Edwin
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