Question

8 persons has to travel from A to B in 3 allotted cars. If a car can carry maximum 3 persons. Then find the number of ways they can travel.

• A. 1880
• B. 1800
• C. 1680
• D. 1600

Answer 1

Answer: (C)

1680

Answer 2

The correct option is (C): 1680
C1 C2 C3
3 3 2 $\rightarrow$
Total $\frac{8!}{3!3!2!2!}$ groups
So , they can travel in
$\frac{8!}{3!3!2!2!}\times31\ ways$
$=1680$