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MATHCOUNTS 2026 State Countdown Round (Problem 78)

How many arrangements of the letters in the word CUBES have the two vowels next to each other?

Core

  • Toolkit 45 — Adjacency in Permutations
Put a box around U and E.
UE CBS\boxed{\text{UE}}\ \text{CBS}UE​ CBS4!⋅2!4!\cdot2!4!⋅2!
48
  • MATHCOUNTS 2026 State Sprint Round (Problem 20)
  • MATHCOUNTS Chapter 2026 Target Round (Problem 8)
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