Eight persons are to be transported from city A to city B in three cars of different makes…

Question

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 :

Accepted Answer

Let $C_1, C_2$ and $C_3$ be the three cars in which 8 person are to be transported from city $A$ to city $B$.

Let the number of persons transported in cars $C_1, C_2$ and $C_3$ are 3,3 and 2 respectively.

There are total $\frac{8 !}{3 ! 3 ! 2 ! 2 !}$ group

$	herefore$ They can travel $\frac{8 !}{3 ! 3 ! 2 ! 2 !} 	imes 3$ ! ways
or
1680 ways

Solutions · 1