The order doesn't matter.
[tex]k [/tex] objects can be chosen out of [tex] n [/tex] objects, when the order doesn't matter, in [tex] C(n,k)=\dfrac{n!}{k!(n-k)!} [/tex] ways.
[tex] C(8,4)\cdot C(9,7)\cdot C(11,10)=\dfrac{8!}{4!4!}\cdot\dfrac{9!}{7!2!}\cdot \dfrac{11!}{10!}=\dfrac{5\cdot6\cdot7\cdot8}{2\cdot3\cdot4}\cdot\dfrac{8\cdot9}{2}\cdot11=\\=27,720 [/tex]
There are 27,700 ways.
