Question 257455: plz solve this...
how many words can be formed out og the word DAUGHTER if all vowels occupy odd places?
Answer by vksarvepalli(154)   (Show Source):
You can put this solution on YOUR website! in the word DAUGHTER there are 3 vowels(A,U,E) and 5 consonants(D,G,H,T,R), and total of 8 letters
there are four odd places --- 1,3,5 and 7
so 3 places are to be selected of the four odd places for the vowels to fill
this can be done in 4c3 ways=4 ways
now the vowels can arrange among themselves in 3! ways=6
now the remaining 5 consonants fill the remaining 5 places and can be arranged in 5! ways=120
so total no. of words that can be formed=4*6*120
=2880 ans
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