BALLOON arrangements bookended by vowels

How many distinct arrangements of the letters in BALLOON begin and end with a vowel? (The vowels available are the letters A, O, O.)

Show hints (2)+
  1. Split on which vowels sit at the two ends - the repeated O forces cases.
  2. Both-O ends (1 way) vs A-and-O ends (2 orders), each times the middle arrangements 5!/2!5!/2!.

Answer

Reveal answer →

180

Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.

Asked at: Game-Based Aptitude, ETF Market-Making

Related questions