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An unbiased dike, with faces numbered 1,...

An unbiased dike, with faces numbered 1,2,3,4,5,6, is thrown `n` times and the list of `n` numbers shown up is noted. Then find the probability that among the numbers 1,2,3,4,5,6 only three numbers appear in this list.

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The correct Answer is:
`((3^n -3.2 ^(n)+3)xx.^(6)C_(3))/(6^n)`.
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