Question:
How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER ?
Answer:
Hai Shrestha
The word DAUGHTER contains 3 vowels (A,U,E) and 5 consonants (D,G,H,T,R)
From this 3 vowels and 5 consonants , we want to make words consisting of 2 vowels and 3 consonants
That is 3 c 2 * 5 c 3
And also the 5 letters (2 vowels and 3 consonants) can be arranged in 5! ways
So the final answer will be
3 c 2 * 5 c 3 * 5! = 3600 ways
Hope you understand GOOD LUCK......
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