How many words with or without meaning can be formed using the letters of the word DIFFERENTIABILITY? In how many of theses words the vowels are together?
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vowels: A, E, E, I, I, I, I consonants: B,D,F,F,L,N,R,T,T,Y
1) Letters of the word: without repetition: A,E,I , B,D,F,L,N,R,T,Y
Number of words that can be formed = 11 !
the repeating letters are included once only.
number of words in which Vowels are together = 9! treating 3 vowels as one letter.
2) Number of words that can be formed (including repeating letters): 17 !
number of words with vowels being together = 11 ! as all 7 vowels are treated as just one letter..
1) Letters of the word: without repetition: A,E,I , B,D,F,L,N,R,T,Y
Number of words that can be formed = 11 !
the repeating letters are included once only.
number of words in which Vowels are together = 9! treating 3 vowels as one letter.
2) Number of words that can be formed (including repeating letters): 17 !
number of words with vowels being together = 11 ! as all 7 vowels are treated as just one letter..
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