Answer:
5005
Formula:
[tex]_{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex]
Where:
r - Number of "Selectable Objects" from a given set.
n - Total number of objects in the set or given items.
[tex]_{n}C_{r}[/tex] - Number of Possible Combinations
Solution:
[tex]\bold{_{n}C_{r}=\frac{n!}{r!(n-r)!}}\\\\_{n}C_{r}=\frac{n!}{r!(n-r)!}\\\\_{n}C_{r}=\frac{15!}{9!(15-9)!}\\\\_{n}C_{r}=\frac{15!}{9! \times 6!}\\\\\boxed{_{n}C_{r}=5005}[/tex]
