document.write( "Question 885951: The Hawaiian alphabet consists of 7 consonants and 5 vowels. How many three letter words are possible if there are never two consonants together and if a word must always end in a vowel ? \n" ); document.write( "
Algebra.Com's Answer #539048 by Edwin McCravy(20055)\"\" \"About 
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document.write( "The three-letter words are of these types VVV, VCV, CVV\r\n" );
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document.write( "Case 1:  VVV\r\n" );
document.write( "Choose the first vowel any of 5 ways\r\n" );
document.write( "Choose the second vowel any of 5 ways\r\n" );
document.write( "Choose the third vowel any of 5 ways.\r\n" );
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document.write( "That's 5*5*5 = 125 ways.\r\n" );
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document.write( "Case 2:  VCV\r\n" );
document.write( "Choose the first vowel any of 5 ways\r\n" );
document.write( "Choose the consonant any of 7 ways\r\n" );
document.write( "Choose the remaining vowel any of 5 ways.\r\n" );
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document.write( "That's 5*7*5 = 175 ways.\r\n" );
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document.write( "Case 3:  CVV\r\n" );
document.write( "Choose the consonant any of 7 ways\r\n" );
document.write( "Choose the first vowel any of 5 ways\r\n" );
document.write( "Choose the remaining vowel any of 5 ways.\r\n" );
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document.write( "That's 5*5*7 = 175 ways.\r\n" );
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document.write( "Total = 125 + 175 + 175 = 475 ways.\r\n" );
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document.write( "Edwin
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