Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is

Step-by-step solution

Let us find the different ways so that 8 persons can travel in 3 cars. C 1 C 2 C 3 3 3 2 2 3 3 3 2 3 Hence we have 3 ways. Now the number of ways to distribute 8 persons such that they can travel in 3 cars with any car carrying maximum of 3 persons is 8 ! 3 ! 3 ! 2 ! × 3 = 1680 Therefore, the required answer is 1680