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2 points People have come up with various nice \"laws when studying coincidences

ID: 3200747 • Letter: 2

Question

2 points People have come up with various nice "laws when studying coincidences, see for example the beautiful book Improbability principle by David Hand. One of the laws is called the Law of Inevitability namely in an experiment something must happen. At first sight this sounds trite but let us see it in action. In 1990, the Virginia state lottery was being conducted as follows. You have to choose 6 distinct numbers from the numbers 1 to 44; the order does not matter so one lottery ticket could be: 23 06 30, 11 37 09

Explanation / Answer

Number of ways of choosing six tickets out of 44 number where order does not matter is combination of 44 of 6

i.e. 44C6 = 7059052.

Since each ticket cost $1, cost of all tickets = $ 7059052

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