Matemática e suas Tecnologias
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Questão de Matemática e suas Tecnologias #01a0e94a

Enunciado da Questão
Matemática e suas Tecnologias
#enem
#enem 2024
Médio

To open the door of a company, each employee must register a password using an alphanumeric keypad like the one shown in the figure.

For example: the key containing the number 2 displays the correlated letters A, B, and C. Each press on this key sequentially displays the following characters: 2, A, B, and C. For subsequent presses, this sequence repeats. The other keys work in the same way.

The passwords to be registered by the employees must contain 5 characters, consisting of 2 distinct digits followed by 3 different letters, in that order. An employee will register their first password and can choose from the keys featuring the numbers 1, 2, 5, 7, and 0, along with their respective correlated letters, where applicable.

The number of different possibilities this employee has to register their password is

A

11,520.

B

14,400.

Correta
C

18,000.

D

312,000.

E

390,000.

Explicações da Comunidade