8 Congressmen are to be divided at random into three committees on ed- ucation, the economy and foreign policy, respectively. Each committee will consist of exactly six Congressmen (assume that order does not matter within the committees, but that it does matter on which committee a Congressman will serve). (a) In how many different ways can this be done? (b) Suppose that of the 18 Congressmen, 6 are Republicans, 9 are Democrats, and 3 are Independents. What is the probability that in a random committee assignment all the Independents end up on the same committee?
8 Congressmen are to be divided at random into three committees on ed- ucation, the economy and foreign policy, respectively. Each committee will consist of exactly six Congressmen (assume that order does not matter within the committees, but that it does matter on which committee a Congressman will serve). (a) In how many different ways can this be done? (b) Suppose that of the 18 Congressmen, 6 are Republicans, 9 are Democrats, and 3 are Independents. What is the probability that in a random committee assignment all the Independents end up on the same committee?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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8 Congressmen are to be divided at random into three committees on ed-
ucation, the economy and foreign policy, respectively. Each committee will
consist of exactly six Congressmen (assume that order does not matter within
the committees, but that it does matter on which committee a Congressman
will serve).
ucation, the economy and foreign policy, respectively. Each committee will
consist of exactly six Congressmen (assume that order does not matter within
the committees, but that it does matter on which committee a Congressman
will serve).
(a) In how many different ways can this be done?
(b) Suppose that of the 18 Congressmen, 6 are Republicans, 9 are
Democrats, and 3 are Independents. What is theprobability that in a
random committee assignment all the Independents end up on the same
committee?
Democrats, and 3 are Independents. What is the
random committee assignment all the Independents end up on the same
committee?
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