document.write( "Question 390475: How many 4-letter words with at least one vowel can be constructed from the letters A, B, C, D, and E? \n" ); document.write( "
Algebra.Com's Answer #276860 by haileytucki(390) You can put this solution on YOUR website! There are 5 letters and the question asks for How many four letter words?\r \n" ); document.write( "\n" ); document.write( "This is a possibility problem:\r \n" ); document.write( "\n" ); document.write( "5P4\r \n" ); document.write( "\n" ); document.write( "Find the number of possible ordered permutations when r items are selected from n available items. \n" ); document.write( "5P4=nPr=(n!)/(n-r!)\r \n" ); document.write( "\n" ); document.write( "Fill in the known values. \n" ); document.write( "(5!)/((5-4)!)\r \n" ); document.write( "\n" ); document.write( "Cancel out the common factorial factors. \n" ); document.write( "5*4*3*2\r \n" ); document.write( "\n" ); document.write( "Multiply 5 by 4 to get 20. \n" ); document.write( "20*3*2\r \n" ); document.write( "\n" ); document.write( "Multiply 20 by 3 to get 60. \n" ); document.write( "60*2\r \n" ); document.write( "\n" ); document.write( "Multiply 60 by 2 to get 120. \n" ); document.write( "Answer= 120 \n" ); document.write( " |