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JAMB Mathematics 1992 Question 49

Question 49

Permutation and Combination

Five people are to be arranged in a row for a photograph. How many arrangements are there if a married couple in the group insists on sitting next to each other?

  1. A.48
  2. B.24
  3. C.20
  4. D.10
Show the answer and explanation

Answer: A (48)

Explanation

Treat the couple as one block, so 4 items are arranged in a row in 4! = 24 ways. The couple can swap places within the block, giving 24 × 2 = 48.