On a railway tract, there are 20 stations. The number of tickets required in order that it may be possible to book a passanger from every station to every station after is
Question
On a railway tract, there are 20 stations. The number of tickets required in order that it may be possible to book a passanger from every station to every station after is
Solution
The number of tickets required can be calculated using the formula for combinations in mathematics, which is n(n-1)/2, where n is the number of items (in this case, stations).
Here's the step-by-step calculation:
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Identify the total number of stations. In this case, it's 20.
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Plug the number of stations into the formula. So, it becomes 20(20-1)/2.
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Calculate the expression in the parentheses first, according to the order of operations (also known as BIDMAS/BODMAS/PEDMAS). So, it becomes 20*19/2.
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Multiply 20 by 19 to get 380.
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Finally, divide 380 by 2 to get 190.
So, 190 tickets are required in order that it may be possible to book a passenger from every station to every other station.
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