A lady has fine gloves and hats of different colours in her closet 18 blue, 32 r

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Practice Decimal Fraction – A lady has fine gloves and hats of different colours in her closet 18 blue, 32 red and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes an item out of the closet only if she is sure that it is a glove. How many gloves must she take out to make sure that she has a pair of each colour?

Given a set of letters {a, b, c, d, e, f, g, h, i, j, k, l, m}, we can list out

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Practice Decimal Fraction – Given a set of letters {a, b, c, d, e, f, g, h, i, j, k, l, m}, we can list out all permutations of these letters in lexicographic (dictionary) order. The first three permutations in this list are abcdefghijklm, abcdefghijkml and abcdefghijlkm and the last one is mlkjihgfedcba. What permutation would appear immediately after the following one in this lexicographically ordered list of permutations?
bcjameflkihgd