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Combinatorics

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Six Dice All Different

COMBIN-HLX4W9

Roll six standard 6-sided dice simultaneously.

What is the probability that no two dice show the same number of pips?

A

$\cfrac{{6!}}{6^6}$

B

$\cfrac{6}{6^6}$

C

$\cfrac{1}{6^6}$

D

$\cfrac{2^6}{6^6}$

E

$\cfrac{5!}{6^6}$