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A committee of 5 persons is to be selected out of 6 men and 2 women....

A committee of 5 persons is to be selected out of 6 men and 2 women. Find the number of ways in which more men are selected than women? b) If 5 students are to be randomly chosen from a group of 12 students to form a committee for a class trip, what is the probability that group members Alice and Tom will be chosen for the committee?

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