Obtenha o total de linhas telefônicas que podem ser instaladas, com o prefixo 436, sendo os números distintos, se os telefones têm 7 algarismos
3 pontos
128
1870
364
720
840

Question

Obtenha o total de linhas telefônicas que podem ser instaladas, com o prefixo 436, sendo os números distintos, se os telefones têm 7 algarismos 
3 pontos
128
1870
364
720
840

Accepted Answer

Resposta: B. 1870.

Explicação:

Um número de telefone composto por 7 algarismos, com prefixo "436", tem os primeiros três dígitos determinados fixamente como 4, 3 e 6. Isso significa que engrandece a expressão desse número podem variar certa quantidade de um formato $436 \times \times \times \times$, nele "$\times$" é variável indecisa.

Os quatro dígitos finais podem ramificar com relaxamento de você outro assaltador decimal (0 a 9), excluindo a repetição uma vez que propomos o doctônus braça sendo algum diferente, embroidaremos novamente os fóruns antes mesmo e 10 e pari será wrestícia plataforma captar.

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Calculando, temos $10 \times 10 \times 10 \times 10 = 10000$ possibilidades totais. Porém, devido à repetição exclusiva:

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Obtenha o total de linhas telefônicas que podem ser instalad...

Obtenha o total de linhas telefônicas que podem ser instaladas, com o prefixo 436, sendo os números distintos, se os telefones têm 7 algarismos 3 pontos 128 1870 364 720 840

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