em relação ao conjunto A={a,b,c,d,e,f,g,h}, quantos subconjuntos de 3 elementos podem ser formados?
Soluções para a tarefa
Respondido por
8
para resolver essa questao basta formar todos os subconjuntos posiveis de 3 em 3 elementos usando a seguinte formula:
![C_{n.k} = \frac{n!}{k(n-k)!} --\ \textgreater \ C_{8.3} = \frac{8!}{3(8-3)!} --\ \textgreater \
C_{8.3} = \frac{8!}{3!.5!} --\ \textgreater \](https://tex.z-dn.net/?f=+C_%7Bn.k%7D+%3D+%5Cfrac%7Bn%21%7D%7Bk%28n-k%29%21%7D+--%5C+%5Ctextgreater+%5C+++C_%7B8.3%7D+%3D+%5Cfrac%7B8%21%7D%7B3%288-3%29%21%7D+--%5C+%5Ctextgreater+%5C+%0AC_%7B8.3%7D+%3D+%5Cfrac%7B8%21%7D%7B3%21.5%21%7D+--%5C+%5Ctextgreater+%5C+%0A "C_{n.k} = \frac{n!}{k(n-k)!} --\ \textgreater \ C_{8.3} = \frac{8!}{3(8-3)!} --\ \textgreater \
C_{8.3} = \frac{8!}{3!.5!} --\ \textgreater \")
![C_{8.3} = \frac{8.7.6.5!}{3!5!} --\ \textgreater \ C_{8.3} = \frac{8.7.6}{3.2.1} --\ \textgreater \
C_{8.3}=56](https://tex.z-dn.net/?f=C_%7B8.3%7D+%3D+%5Cfrac%7B8.7.6.5%21%7D%7B3%215%21%7D+--%5C+%5Ctextgreater+%5C+C_%7B8.3%7D+%3D+%5Cfrac%7B8.7.6%7D%7B3.2.1%7D+--%5C+%5Ctextgreater+%5C+%0AC_%7B8.3%7D%3D56%0A "C_{8.3} = \frac{8.7.6.5!}{3!5!} --\ \textgreater \ C_{8.3} = \frac{8.7.6}{3.2.1} --\ \textgreater \
C_{8.3}=56")
Perguntas interessantes