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Puzzle ZIRB

??

What are the next three letters in this sequence:
HDD
TMRUTC
TCSO
TMRD

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Workings

Hint
This is a well known nursery rhyme.

Answer
HDD.

The initial letters from the nursery rhyme, Hickory Dickory Dock.
Hickory, dickory, dock,
The mouse ran up the clock,
The clock struck one,
The mouse ran down,
Hickory, dickory, dock.

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