In a small town railway station line there are 25 stations at each of the 25 stations passengers can get tickets for any of the other 24 stations.
How many different kinds of tickets the booking clerk has to keep?
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Since the question says ''at each of the 25 stations passengers can get tickets for any of the other 24 stations.''
So, at each station there are 24 different kinds of tickets.
So at 25 stations there are 24 * 25 = 600 different kinds of tickets.