Com os algarismos 1, 2, 3, 4, 5, 6 e 7 quantos números de 3 algarismos distintos : a) podem ser form.... Pergunta de ideia deJoao0902

December 2019 1 65 Report

Com os algarismos 1, 2, 3, 4, 5, 6 e 7 quantos números de 3 algarismos distintos :

a) podem ser formados, no total?

b) são pares?

c) começam por 7 e terminam por 1.

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jonathamataide A) Ao total temos 7 algarismos, para a primeira opção temos 7, já na segunda, como usamos uma opção na primeira só teremos 6, já na terceira será 5, pois usamos duas opções de algarismos anteriormente.

__7__×__6__×__5__ = 210

B) Para um numero ser par, ele tem que terminar com um dos números pares existentes nos algarismos descritos por você, então temos: 2, 4, 6, logo, para o final só teremos 3 opções. Já para a primeira opção, teremos apenas 6, pois já usamos uma no final. Por conseguinte, no meio teremos apenas 5 opções de algarismos, visto que usamos 1 opção no final e uma na primeira.

__6__×__5__×__3__ = 90

C) Essa aqui é a mais fácil de todas, já que para a primeira opção só temos apenas 1, que no caso é o próprio 7, e no último também só teremos uma que é o próprio 1. E por último, já usamos duas opções, logo só teremos 5 na opção do meio.

__1__×__5__×__1__ = 5

Joao0902 Muito Obrigado!!! Mesmo

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