Permutations and Combinations - 7

Hi everyone,
I have a doubt about the result in p7 of the course on Permutations and Combinations, that you can find here: permutations_and_combinations_7

on question 4, we are asked to calculate “the probability of winning the big prize for this state lottery provided you use the numbers (3, 20, 37, 44, 45, 49) — the big prize means the numbers match exactly those resulted from the official drawing”.
Considering it is a lottery and the order of the numbers matters, I would have guessed the situation is different from the poker example:

in the lottery example, isn’t drawing (3, 20, 37, 44, 45, 49) different from drawing (3, 37, 20, 44, 45, 49), even if both 6 digits combinations contain the same numbers?

That being said, the probability of winning the lottery with the given combination would be:
p_big_prize = 1/permutation(49, 6)

instead of:
p_big_prize = factorial(6)/permutation(49, 6)

Can somebody help me on this one? Thanks a lot

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I just read a bit about this lottery and didn’nt know the order of the numbers doesn’t matter eventually. So I guess this answers that!

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Didn’t know either, thanks for the info. Was kinda confused here.