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- Jan 26, 2012

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What is \(\displaystyle A \times \frac{503}{97297200}\)?

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- Thread starter
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- #1

- Jan 26, 2012

- 4,052

What is \(\displaystyle A \times \frac{503}{97297200}\)?

--------------------

Remember to read the POTW submission guidelines to find out how to submit your answers!

- Thread starter
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- #2

- Jan 26, 2012

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1) Sudharaka

2) MarkFL

3) soroban

4) veronica1999

Solution (from Sudharaka):

H - 2, A - 2, P - 2, Y - 2, O - 1, L - 1, I - 1, D - 1, S - 1

Number of letters in "Happy Holidays" = 13

Therefore the number of possible arrangements (A) = \(\dfrac{13!}{(2!)^4}\)

\[\therefore A \times \frac{503}{97297200}=\frac{13!}{(2!)^4}\times\frac{503}{97297200}=2012\]

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