You have to select 4 members for a committee. These members are with the same powers, so you should use combinations
[tex]C_n^k=\dfrac{n!}{k!(n-k)!}.[/tex]
In your case, n=10, k=4, then
[tex]C_{10}^4=\dfrac{10!}{4!(10-4)!}=\dfrac{10!}{4!\cdot 6!}=\dfrac{6!\cdot 7\cdot 8\cdot 9\cdot 10}{6!\cdot 2\cdot 3\cdot 4}=7\cdot 3\cdot 10=210.[/tex]
Answer: 210 ways to select a committee of 4 members from 10 members.
