The question is the UK lotto requires 6 numbers to be chosen no repeats from 1-59 inclusive, what are the total possible combinations and the answer is 59!/6!*53! however i dont understand why the 6! should be included? why does order not matter? if no repeats then 59 times 58 time 57 and so on makes sense but to divide by 6! means that we treat all combinations of the same 6 numbers to be the same right but for a lotto why would that be? wouldnt for eg. if the number chosen was 59-58-57-56-55-54 that would be different from 58-59-57-56-55-54 in my eyes. do let me know if ive missed something as i felt it was not explicit or implied in the question that order did not matter

refs:https://www.mathsisfun.com/combinatorics/combinations-permutations.html

@Leaderboard Do you think we should provide additional context in this question with regards to how lotteries work?

Indeed, and done.

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