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

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

Option: 1

1120


Option: 2

560


Option: 3

3360


Option: 4

1680


Answers (1)

best_answer

\begin{aligned} & \text { Ways }=\frac{8 !}{3 ! 3 ! 2 ! 2 !} \times 3 ! \\ & =\frac{8 \times 7 \times 6 \times 5 \times 4}{4} \\ & =56 \times 30 \\ & =1680 \end{aligned}

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jitender.kumar

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