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) =
`(5040)/(24)` = 210

4
`C_(2)` = (4!)/(2! × 2!) =
`(4.3)/(2)` = 6

product = 210 × 6 = 1260