Question

Quantas são as senhas de 4 caracteres distintos que podem ser escritas utilizando as letras da palavra "ESCOLAR" ?

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Answer 1

$\sf 7 \cdot6\cdot5\cdot4\cdot3\cdot2\cdot1 \\ \sf 42\cdot5\cdot4\cdot3\cdot2\cdot1 \\ \sf 210\cdot4\cdot3\cdot2\cdot1 \\ \sf 540\cdot3\cdot2\cdot1 \\ \sf 2520\cdot2\cdot1 \\ \sf 5040 \cdot1 \\ \sf {\color{lime}\underline{5040}}$

Att: Nerd1990

Answer 2

$\boxed{ 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1} \\ \\ 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = \\ \\ 42 \times 5 \times 4 \times 3 \times 2 \times 1 = \\ \\ 210 \times 4 \times 3 \times 2 \times 1 = \\ \\ 840 \times 3 \times 2 \times 1 = \\ \\ 2.520 \times 2 \times 1 = \\ \\ 5.040 \times 1 =$

$\red{ \boxed{ \boxed{ \maltese \: 5.040}} }$