In the 2011 Canada general election, 166 Conservatives, 103 NDPs, 34 Liberals, 4 Bloc Quebecois, and 1 Green were elected. If an all party committee is to be formed consisting of 9 Conservatives, 5 NDPs, 2 Liberals, 1 Bloc Quebecois and 1 Green, how many different committees are possible?

Answer 1

C(166,9)*C(103,5)*C(34,2)*C(4,1)*C(1,1)≈ 4.15*10^25

Answer 2

I'm getting a different answer

7.13 × 10^16