The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl
an such a tour if the traveler can only choose the five cities (the order is determined by the travel company).
A. 3,003
B. 15
C. 3
D. 360,360
E. 759,375
F. 75
1 answer:
Answer:
The correct answer is D. 360,360.
Step-by-step explanation:
Number of cities as stopovers available for selection for an European tour = 15
A traveler has to select a total of five cities from these the given 15 cities for his tour and order is determined by the travel company.
Therefore the number of ways the traveler plan such a tour is given by
= 3003.
Now the order of the cities chosen by the travel company is given by 3003 × 5! = 360,360 ways.
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