An 4 member committee is chosen from 10 men. 12 women. A) How many such committe

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An 4 member committee is chosen from 10 men. 12 women. A) How many such committees are possible B) Find the probability that there are at least 3 men on the committee. C) find the probability that it has at least 3 men AND Jim is one of them, BUT Jack is not In a class 55% of students are women. 40% of the women prefer Coke, while the rest prefer Pepsi. Among the men, 60% prefer Coke while the rest prefer Pepsi. Find The percentage of Coke drinkers that are female The percentage of Pepsi drinkers that are female

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Ans 4:

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Ans 5

excel formula:

Ans 4 a) men= 10 women= 12 assumption: all men and women are distinguishable committee of 4 to be selected There could be 5 possibilities in terms of no. of men & women in committee no. of men no. of women no. of ways men can be chosen no. of ways women can be chosen total no. of ways of choosing men & women for the given combination 0 4 1 495 495 1 3 10 220 2200 2 2 45 66 2970 3 1 120 12 1440 4 0 210 1 210 Thus, total no. of ways of forming committee= 7315 b) There could be 2 possibilities in terms of no. of men & women in committee no. of men no. of women no. of ways men can be chosen no. of ways women can be chosen total no. of ways of choosing men & women for the given combination 3 1 120 12 1440 4 0 210 1 210 Thus, total no. of ways of forming committee= 1650 probability= 0.225564 c) There could be 2 possibilities in terms of no. of men & women in committee no. of men no. of women no. of ways men can be chosen no. of ways women can be chosen total no. of ways of choosing men & women for the given combination 3 1 28 12 336 4 0 56 1 56 Thus, total no. of ways of forming committee= 392 probability= 0.053589

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