MATEMÁTICA DISCRETA CCT0266
Uma senhora esqueceu a sua senha bancária. O que ela lembra ao certo é que essa senha é formada por quatro algarismos distintos, e que o primeiro algarismo é o 5. A senhora se recorda ainda que o algarismo 6 aparece em alguma outra posição.
Quantas tentativas devem ser permitidas para que esta senhora possa ter a certeza de realizar o saque?
| A senha é constituída de 4 algarismos distintos.
Começa com 5: 5 ___ ___ ___ O algarismo 6 aparece em alguma posição. Pensemos se o algarismo 6 estiver na segunda posição: 5 6 ___ ___
Como já utilizamos dois algarismos, precisamos calcular o arranjo de 8 algarismos, dois a dois. A8,2=8!6!=56
Como esse raciocínio pode ser feito nas 3 posições que o algarismo 6 pode estar, ficamos com 56⋅3=168´ |
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Fundamentação do(a) Professor(a): A senha é constituída de 4 algarismos distintos.Começa com 5:5 ___ ___ ___O algarismo 6 aparece em alguma posição.Pensemos se o algarismo 6 estiver na segunda posição:5 6 ___ ___ Como já utilizamos dois algarismos, precisamos calcular o arranjo de 8 algarismos, dois a dois.A8,2=8!6!=56 Como esse raciocínio pode ser feito nas 3 posições que o algarismo 6 pode estar, ficamos com56⋅3=168´ |
Observe os gráficos das funções f e g abaixo.
Observe no gráfico que:
fog(1)=f(g(1))= f(2)=5
gof(1)=g(f(1))=g(3)=0
Fundamentação do(a) Professor(a): Observe no gráfico que:fog(1)=f(g(1))= f(2)=5gof(1)=g(f(1))=g(3)=0
Last modified: 6 de dezembro de 2014
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