document.write( "Question 257455: plz solve this...\r
\n" ); document.write( "\n" ); document.write( "how many words can be formed out og the word DAUGHTER if all vowels occupy odd places?
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Algebra.Com's Answer #189349 by vksarvepalli(154)\"\" \"About 
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in the word DAUGHTER there are 3 vowels(A,U,E) and 5 consonants(D,G,H,T,R), and total of 8 letters\r
\n" ); document.write( "\n" ); document.write( "there are four odd places --- 1,3,5 and 7\r
\n" ); document.write( "\n" ); document.write( "so 3 places are to be selected of the four odd places for the vowels to fill\r
\n" ); document.write( "\n" ); document.write( "this can be done in 4c3 ways=4 ways\r
\n" ); document.write( "\n" ); document.write( "now the vowels can arrange among themselves in 3! ways=6\r
\n" ); document.write( "\n" ); document.write( "now the remaining 5 consonants fill the remaining 5 places and can be arranged in 5! ways=120\r
\n" ); document.write( "\n" ); document.write( "so total no. of words that can be formed=4*6*120\r
\n" ); document.write( "\n" ); document.write( "=2880 ans
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