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4. State and multi-state lotteries are common in the U.S. To win a typical lottery, you must match 6 numbers between 1 and 40. How many different combinations are possible? What does that say about the chances of winning the lottery?

Mathematics
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combinations are 1/(40^6)
this is 40C6 = 40x39x38x37x36x35 10x6x7x13x19x37 = 3838380 ------------------ = 6x5x4x3x2x1
so chances of getting winning combination is 1 in 3,838,380

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