4 equal bags of candies are distributed among 3 groups of people. In it The first group consisting of 5 people distributes two bags and one candy is left over. In The second group of 6 people distributes a bag and there are 2 candies left over. On the third a group of 7 people distributes a bag and there are 3 left over. Knowing that in total the number of candies is less than 500. How many candies are in each bag?

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A: This is a case of permutation.

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