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Question 4 3 (a) Given A = 2 and ATB = 1. Find matrix B. (b) Find the number of permutations of the letters in the word "EXCELLENT". (c) A student needs to take a math class, two business classes and a language class. There are four math classes, seven business classes, and five language classes that fit into her schedule. How many different class schedules does she have to pick from? (d) In a five-person group, there are three women and two men. Two of the women and one of the men are employed. Assuming that all outcomes are equally likely, determine the probability of (i) selecting two employed women from the group. (ii) selecting two employed person from the group