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:
Given word is DAUGHTER
Number of vowel = 3 (A,U,E)
Number of consonant = 5(D,G,H,T,R)
Now we have to form words using 2 vowels and 3 consonants
Number of words = 3C2 * 5C3 * 5! (5! is because 5 number can be arranged in 5! ways)
= 3*10*120 ( 3C2 = 3, 5C3 = 10 and 5! = 120)
= 3600
So total number of words = 3600
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