Q. 14.3( 97 Votes )

How many words, w

Answer :

The word DAUGHTER has 3 vowels A, E, U and 5 consonants D, G, H, T and R.


The three vowels can be chosen in 3C2 as only two vowels are to be chosen.


Similarly, the five consonants can be chosen in5C3 ways.


Number of choosing 2 vowels and 5 consonants would be 3C2 ×5C3



= 30


Total number of ways of is 30


Each of these 5 letters can be arranged in 5 ways to form different words = 5P5



Total number of words formed would be = 30 × 120 = 3600


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