Question

Quantos são os anagramas da palavra CRONOGRAMA?

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Answer 1

$\sf{\underbrace{CRONOGRAMA}_{P_{10}^{2,2,2}}=\dfrac{10!}{2!\cdot2!\cdot2!}}\\\sf{\dfrac{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot \diagup\!\!\!\!4\cdot3\cdot \diagup\!\!\!\!2!}{\diagup\!\!\!\!2!\cdot \diagup\!\!\!\! 2\cdot1\cdot \diagup\!\!\!\!2\cdot1}=453600}$