Question

Calculate C(4, 2) · C(9, 7) · C(11, 7), the product of combinations

(a) 6
(b) 36
(c) 330
(d) 71,280

Answer 1

To calculate C(4, 2) · C(9, 7) · C(11, 7), we first find the values of each combination and then multiply them together. The product is 71,280.

Step-by-step explanation:

To calculate the product of combinations C(4, 2) · C(9, 7) · C(11, 7), we can first evaluate each individual combination, and then multiply them together.

C(4, 2) = 4! / (2!(4-2)!) = (4 · 3) / (2 · 1) = 6

C(9, 7) = 9! / (7!(9-7)!) = (9 · 8) / (2 · 1) = 36

C(11, 7) = 11! / (7!(11-7)!) = (11 · 10 · 9 · 8) / (4 · 3 · 2 · 1) = 330

Now, we can multiply these values together: 6 · 36 · 330 = 71,280.