LearnFrenzy
Sign in Take a free test

Permutations and Combinations · Discussion forum

Easy Level Question 19 – answer, explanation & discussion

  • 0 comments
  • Answer explained
  • Moderated community
Question 19 Back to Exercise

In how many ways can the letters of DAUGHTER be arranged so that the vowels come together?

  • A 720
  • B 40,320
  • C 2,160
  • D 4,320 Correct
Correct Answer: Option D

Vowels A, U, E as one block + D, G, H, T, R → 6 units: 6! = 720

Vowels inside the block: 3! = 6

720 × 6 = 4,320

Trap: 720 forgets to arrange the vowels.

Answer: 4,320

Discussion & Comments 0

Share your method, a shortcut, or ask about a step you didn't follow.

No comments yet. Be the first to share your solution!

Post your comment

Comments appear after a quick review by our team.

Search LearnFrenzy

Esc

Quick links