Question

Quantos anagrama podem forma a palavra tectec?

Answer 1

$P^{2,2,2} _6 = \frac{6!}{2!2!2!} = \frac{6.5.4.3.2!}{4.2!} = \frac{360}{4} = 90$

Answer 2

$\mathsf{\underbrace{TECTEC}_{P_6^{2,2,2}}=\dfrac{6!}{2!\cdot2!\cdot2!}}\\\mathsf{\dfrac{6\cdot5\cdot \diagup\!\!\!\!4\cdot3\cdot \diagup\!\!\!\!2!}{\diagup\!\!\!\!2!\cdot \diagup\!\!\!\!4}=90}$

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