1.

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

Answer» 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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