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Choosing officers: A committee consists of eleven women and seven men. Three committee members will be chosen as officers. (a) How many different choices are possible? (b) How many different choices are possible if all the officers are to be women? (c) How many different choices are possible if all the officers are to be men? (d) What is the probability that all the officers are women? Round your answers to at least 4 decimal places. Part 1 of 4 How many different choices are possible? There are different possible choices. Part 2 of 4 How many different choices are possible if all the officers are to be women? There are different choices possible if all the officers are to be women. Part 3 of 4 How many different choices are possible if all the officers are to be men? There are different choices possible if all the officers are to be men. Part 4 of 4 What is the probability that all the officers are women? Round your answers to at least 4 decimal places. The probability that all the officers are women is