document.write( "Question 320496: A child forms three-letter words using three different letters from HISTORY. A three letter word is any arrangement of three letters, whether in dictionary or not.
\n" ); document.write( "There are three segments of the answer that I cannot find the answer to. I need to know how many three-letter words beginning with H are possible, how many begin with a vowel and how many have a vowel as the middle letter.
\n" ); document.write( "My answers are:
\n" ); document.write( "beginning with an H= 1*6*6=36
\n" ); document.write( "beginning with a vowel= 3*7*7=147
\n" ); document.write( "with a vowel as the middle letter= 7*3*7=147
\n" ); document.write( "The back of the book gives the answers 30, 60, and 60. What am I doing wrong? \n" ); document.write( "

Algebra.Com's Answer #229512 by scott8148(6628) $\"\"$ $\"About$

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with an \"H\" in the 1st position , 6 letters remain for the 2nd position , and then 5 remain for the 3rd
\n" ); document.write( "___ 6 * 5 = 30\r
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\n" ); document.write( "\n" ); document.write( "they don't seem to consider \"Y\" a vowel
\n" ); document.write( "___ starting with \"I\" or \"O\" in 1st the first position , 6 letters remain for 2nd , and 5 letters remain for 3rd
\n" ); document.write( "___ 2 * 6 * 5 = 60\r
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\n" ); document.write( "\n" ); document.write( "the position of the vowel doesn't change the numerical outcome
\n" ); document.write( "___ a vowel in the 2nd position , 6 letters for the 1st position , and 5 letters for the 3rd position
\n" ); document.write( "___ 6 * 2 * 5 = 60\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "hope this helps \n" ); document.write( "

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