Letters in the word HULULULU are rearranged. The probability of all three $L$ being together is

The word HULULULU has 8 letters, consisting of 3 L's, 2 U's and 3 H's when treating identical letters as indistinguishable units. The total number of arrangements is 8! / (3! * 2! * 3!) = 560, and treating the block of three L's as one item gives (6! / (2! * 3!)) = 60 favorable arrangements. The probability is therefore 60 / 560, which simplifies to 3 / 28.

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