The word DAUGHTER consists of 3 vowels and 5 consonants

2 vowels and 3 consonants may be selected in ^{3}C_{2}×^{5}C_{3} ways

⇒^{3}C_{1}×^{5}C_{2} 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