Answer:
680
Step-by-step explanation:
Using the definition
n[tex]C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]
where n! = n(n - 1)(n - 2)...... × 3 × 2 × 1
17[tex]C_{3}[/tex]
= [tex]\frac{17!}{3!(14)!}[/tex]
Cancel the multipliers of 14 × 13 ×...... on the numerator with 14! on denominator.
= [tex]\frac{17(16)(15)}{3(2)(1)}[/tex]
= [tex]\frac{4080}{6}[/tex]
= 680
