document.write( "Question 1057700: How many 5 letter word out of the first 8 letters in the english alphabet can be formed with the vowels always included? pls help with a little explanation.thanks a lot and more power.
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Algebra.Com's Answer #672709 by solve_for_x(190) ![]() You can put this solution on YOUR website! There are two vowels in the first 8 letters of the alphabet (a and e). Since \n" ); document.write( "these two letters must be included in every word, we must select 3 additional \n" ); document.write( "letters from the remaining 6 consonants to get a group of 5 letters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are \n" ); document.write( "20 different five letter groups.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For each group, the five letters can be arranged in 5! = 120 ways.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The total number of \"words\" is then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(120 words per group)(20 groups) = 2400 words\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |