# Probability of Random Letter Selection

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Many newspapers carry a certain puzzle in which the individual must unscramble letters to form words.

How many ways can the letters of YARNLE be arranged?

What is the probability of coming up with the correct unscrambling through random letter selection?

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How many ways can the letters of YARNLE be arranged?

Answer: since there are one Y, one A, one R, one N, one L and one E and there are 6 letters together, there are 6!=720 ways that the letters of YARNLE can be arranged

What is the probability of coming up with the correct unscrambling through random letter selection?

Answer: since there is only 1 correct sequence, the probability of coming up with the correct unscrambling through random letter selection = 1/720

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