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BrainBashers™ is a collection of brain teasers & Japanese-type puzzles, optical illusions, and other fun stuff.

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My local shop wanted to create a sign that said PUZZLES, and they had the following multicoloured letters:

   P P P U U Z Z Z Z Z L L L L E S S

How many different ways could they have made the sign?

Puzzle Copyright © Kevin Stone

workings hint answer print

Share link: www.brainbashers.com/puzzle/zemq

Workings

Hint
There are 3 P's, so there are 3 different ways to start the word.

Answer
960.

Reasoning
P P P U U Z Z Z Z Z L L L L E S S gives 3 x P, 2 x U, 5 x Z, 4 x Z (only 4 as we've already used one), 4 x L, 1 x E, 2 x S.

3 x 2 x 5 x 4 x 4 x 1 x 2 = 960.

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