The number of ways is given directly using the formula:
[tex]C_{10}^4\times C_6^3\\\text{wherein }C_n^k=\dfrac{n!}{k!(n-k)!}.\text{ Using the formula we get:}\\C_{10}^4\times C_6^3=\dfrac{10!}{4!(10-4)!}\dfrac{6!}{3!(6-3)!}\\=4200[/tex]
(Use a calculator in order to reach the above result.)
So tête number of ways is 4200.
