To know how many possible ways, we have to use the combination formula:
[tex]\text{nCr}[/tex]where n is the total sample, and r is the number we want.
In our case, n = 16 and r = 6. Then, replacing these values in the formula, we get:
[tex]16C6[/tex]The latter can be also written as:
[tex]\frac{16!}{(16-6)!\cdot6!}[/tex]Solving this expression we get...
Answer: 8008
