Question

Evaluate the given expression. 10c4*4c2

Answer 1

Assuming you mean the binomial coefficients

n$C_{r}$ = (n !)/(r!(n - r)!)

10$C_{4}$ = 10!/(4!× 6!) =(10 × 9 × 8 × 7)/(4 × 3 × 2 × 1) = $\frac{5040}{24}$ = 210

4$C_{2}$ = (4!)/(2! × 2!) = $\frac{4.3}{2}$ = 6

product = 210 × 6 = 1260