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How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER ?

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The word DAUGHTER consists of 3 vowels and 5 consonants

2 vowels and 3 consonants may be selected in 3C2×5C3 ways

3C1×5C2 ways


⇒30 ways

5 letters can be arranged in 5! ways or in 5×4×3×2×1

⇒120 ways

∴ Number of words formed by 2 vowels and 3 consonants which are selected from the word DAUGHTER



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