5. [15 points] A foreign study club lists as its members 4 Canadians, 3 Japanese, 3 Italians, 2 Spaniards, and 6 Germans. If a committee of 6 is selected at random, find the probability that a. [5 points] All nationalities are represented? b. [10 points] All nationalities are represented with Europeans taking 3 seats, Canadians 2 seats, and Japanese 1 seat and in the committee? .