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In a network of railways, a small island...

In a network of railways, a small island has 15 stations. Find the number of different types of tickets to be printed for each class, if every stations must have tickets for other stations.

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For each pair of stations say A and B, two different types of tickets are required from A to B and from B to A.
Now, the number of selections of 2 stations from 15 stations `= .^(15)C_(2)`
`=2xx15xx7=210`
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