In order to find all possible combinations, my group and I used Permutations. Since we could only choose 5 numbers between 1-47, we started from 47 and kept subtracting one from the number until we had all 5 spots filled. For the mega number, we just took 27. When we had all the numbers in their slot, we multiplied everything together and got 4,969,962,460 possible combinations. Our solution is correct because when Anatole showed the class how he solved the problem, we got the same answer as him. Also, multiple groups got the same answer as I did.
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