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JAMB Mathematics 2011 Question 11

Question 11

Permutation and Combination

Raila has 7 different posters to be hung in her bedroom, living room and kitchen. Assuming she has plans to place, at least, a poster in each of the 3 rooms, how many choices does she have?

  1. A.49
  2. B.170
  3. C.21
  4. D.210
Show the answer and explanation

Answer: D (210)

Explanation

Choosing a different poster for each of the 3 rooms, in order, gives 7P3 = 7 × 6 × 5 = 210 choices.