Five dice are tossed together. What is the probability of getting different faces on all five dice?

61/66
61/65
51/65
51/66

Correct answer: 61/65

Solution

For five dice, total outcomes are $6^5$. For all faces to be different, the number of favorable outcomes is $6\times5\times4\times3\times2$. Dividing gives the required probability, which matches the given option.

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