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UI Post-UTME Mathematics 2025 (Model questions) Question 22

Question 22

Permutation and Combination

Six students − A, B, C, D, E and F − are to sit around a circular table. In how many distinct arrangements can they sit if A and B must sit next to each other

  1. A.48
  2. B.24
  3. C.720
  4. D.120
Show the answer and explanation

Answer: A (48)

Explanation

Treat A and B as one unit: 5 units round a circle give (5 − 1)! = 24 ways, and A and B can swap: 24 × 2 = 48.