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?
A.
640
B.
840
C.
520
D.
920
Correct Answer: 840
Explanation
Number of itineraries = 7P4. 7!/((7-4)!)=7!/3!=(7×6×5×4×3!)/3!=840
Number of itineraries = 7P4. 7!/((7-4)!)=7!/3!=(7×6×5×4×3!)/3!=840