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There are 15 buses running between two towns. In how many ways

Question

There are 15 buses running between two towns. In how many ways can a man go to one town and return by a different bus?

A

210

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There are 15 buses running between two towns. In how many ways can a man go to one town and return by a different bus?

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Text solutionVerified

n = 15

Buses

⟶

r = 2

Rows

we know

^{n} P_{r} = \frac{n !}{( n - r )!} \Rightarrow^{15} P_{2} = \frac{15 !}{13 !} \Rightarrow \frac{15 \times 14 \times 13 !}{13 !} \Rightarrow 15 \times 14

\Rightarrow 210

ways

Therefore there are

210

possible ways

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Question Text	There are 15 buses running between two towns. In how many ways can a man go to one town and return by a different bus?
Answer Type	Text solution:1
Upvotes	150