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Exercício de principio fundamental da contagem
Exercício:
1)Qntos numeros existem entre 1000 e 2000, cada um formado por algarismos distintos e escolhidos entre os algarismos 1,2,3,4,5 e 6?
2)michaella,ana,audria e elisangelaresolvem pousar parauma foto,uma ao lado da outra.de quntas maneiras ela podeirao posar?
3)heloisa,patricia e regina apostam uma corrida.de qantas maneiras pode ocorrer a classificacao?
Informações Adicionais:
nao consegui fazer .. por favor me ajudem
1) UFSCar-SP Quantos números existem entre 1.000 e 2.000, cada um formado por algarismos distintos e escolhidos entre os algarismos 1, 2, 3, 4, 5 e 6?
Resposta: Se está entre 1.000 e 2.000, logo ele possui 4 algarismos, sendo que para estar entre eles os algarismos formados devem ser maiores que 1.000 e menores que 2.000, sendo assim o único algarismo que poderá ser utiliza como primeiro número dentro dos 4 algarismos será o “1”.
Sendo assim, temos 1 como primeiro, multiplicando pelo restante, como não pode haver repetição, não poderei utilizar o total em cada espaço, sendo assim dos 6 algarismo que eu tenho, 1 ficará como o primeiro restando 5 para variar com ele e 4 para varirar com 3, completando assim o espaço de 4 algarismos.
1x5x4x3 = 60
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