Q.1. How many words, with or without meaning, each of 2 vowels and 3 consonants
can be formed from the letters of the word DAUGHTER?
In the word DAUGHTER, we have
vowels = 3(A,E,U)
consonants = 5(D,G,H,T,R)
Number of ways of selecting 2 vowels
Number of ways of selecting 3 consonants
Therefore, the number of ways of selecting 2 vowels and 3 consonants
Each of these 30 combinations of 2 vowels and 3 consonants can be arranged in ways.
Thus, the required number of different words
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