Solve the following factorial, please show all steps!

Question

f) C(101, 98) x C(101, 3)

The answer is supposed to be 27, 772, 222, 500.

Please explain the steps, because I do not understand them. Why is it like this??

C(101, 98) x C(101, 3) = [C(101, 3)]² = (101·100·99/(6))² = 27772222500

Answer 1

₁₀₁C₉₈ x ₁₀₁C₃

[101! / (98!)(100 - 98)!] x [101! / (3!)(100 - 3)!]

[101(100)(99) / 3!] x [101(100)(99)) / (3!]

It is like that!