Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) General Knowledge Economy

Six number of fair dice are rolled simultaneously. What is the probability that each face shows up with a different number?

1
\(\frac{1}{6^{6}}\)
2
\(\frac{6}{6^{6}}\)
3
\(\frac{6!}{6^{6}}\)
4
\(\frac{6^5}{6^{6}}\)
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