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
⇒3/1×5×4/1×2
⇒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
⇒30×120
⇒3600