JAMB 2011 · UTME · Q11

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

Worked solution (try it first)
  1. The rooms are different, so the order matters: this is 7P3^7P_3.
  2. The bedroom can have any of the 7 posters, the living room any of the 6 left, and the kitchen any of the 5 left.
  3. So she has 7×6×5=2107 \times 6 \times 5 = 210 choices, option D.

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