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JAMB Mathematics 2007 Question 4

Question 4

Permutation and Combination

A senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?

  1. A.640
  2. B.840
  3. C.520
  4. D.720
Show the answer and explanation

Answer: B (840)

Explanation

Order matters for an itinerary, so it is 7P4 = 7 × 6 × 5 × 4 = 840.