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Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the island and each man is willing to marry any woman who is willing to marry him. Suppose that Anna is willing to marry Jason, Larry, and Matt; Barbara is willing to marry Kevin and Larry; Carol is willing to marry Jason, Nick, and Oscar; Diane is willing to marry Jason, Larry, Nick, and Oscar; and Elizabeth is willing to marry Jason and Matt. Identify the correct statements with respect to the matching between men and women formed in the previous question. (Check all that apply.) Check All That Apply It is a complete matching from the set of women to the set of men. It is not a complete matching from the set of women to the set of men. It is a maximum matching, since complete matching is always a maximum matching. × × It is not a maximum matching, because complete matching need not be always a maximum matching. × Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the island and each man is willing to marry any woman who is willing to marry him. Suppose that Anna is willing to marry Jason, Larry, and Matt; Barbara is willing to marry Kevin and Larry; Carol is willing to marry Jason, Nick, and Oscar; Diane is willing to marry Jason, Larry, Nick, and Oscar; and Elizabeth is willing to marry Jason and Matt. Identify a matching of the young women and the young men on the island such that each young woman is matched with a young man whom she is willing to marry. (You must provide an answer before moving to the next part.) Multiple Choice AL, BN, CO, DJ, and EM AL, BK, CJ, DN, and EM AL, BK, CM, DO, and EN AJ, BL, CM, DO, and EN

Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the island and each man is willing to marry any woman who is willing to marry him. Suppose that Anna is willing to marry Jason, Larry, and Matt; Barbara is willing to marry Kevin and Larry; Carol is willing to marry Jason, Nick, and Oscar; Diane is willing to marry Jason, Larry, Nick, and Oscar; and Elizabeth is willing to marry Jason and Matt. Identify the correct statements with respect to the matching between men and women formed in the previous question. (Check all that apply.) Check All That Apply It is a complete matching from the set of women to the set of men. It is not a complete matching from the set of women to the set of men. It is a maximum matching, since complete matching is always a maximum matching. × × It is not a maximum matching, because complete matching need not be always a maximum matching. × Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the island and each man is willing to marry any woman who is willing to marry him. Suppose that Anna is willing to marry Jason, Larry, and Matt; Barbara is willing to marry Kevin and Larry; Carol is willing to marry Jason, Nick, and Oscar; Diane is willing to marry Jason, Larry, Nick, and Oscar; and Elizabeth is willing to marry Jason and Matt. Identify a matching of the young women and the young men on the island such that each young woman is matched with a young man whom she is willing to marry. (You must provide an answer before moving to the next part.) Multiple Choice AL, BN, CO, DJ, and EM AL, BK, CJ, DN, and EM AL, BK, CM, DO, and EN AJ, BL, CM, DO, and EN

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the island and each man is willing to marry any woman who is willing to marry him. Suppose that Anna is willing to marry Jason, Larry, and Matt; Barbara is willing to marry Kevin and Larry; Carol is willing to marry Jason, Nick, and Oscar; Diane is willing to marry Jason, Larry, Nick, and Oscar; and Elizabeth is willing to marry Jason and Matt. Identify the correct statements with respect to the matching between men and women formed in the previous question. (Check all that apply.) Check All That Apply It is a complete matching from the set of women to the set of men. It is not a complete matching from the set of women to the set of men. It is a maximum matching, since complete matching is always a maximum matching. × × It is not a maximum matching, because complete matching need not be always a maximum matching. ×
Transcribed Image Text:Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the island and each man is willing to marry any woman who is willing to marry him. Suppose that Anna is willing to marry Jason, Larry, and Matt; Barbara is willing to marry Kevin and Larry; Carol is willing to marry Jason, Nick, and Oscar; Diane is willing to marry Jason, Larry, Nick, and Oscar; and Elizabeth is willing to marry Jason and Matt. Identify the correct statements with respect to the matching between men and women formed in the previous question. (Check all that apply.) Check All That Apply It is a complete matching from the set of women to the set of men. It is not a complete matching from the set of women to the set of men. It is a maximum matching, since complete matching is always a maximum matching. × × It is not a maximum matching, because complete matching need not be always a maximum matching. ×
Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the island and each man is willing to marry any woman who is willing to marry him. Suppose that Anna is willing to marry Jason, Larry, and Matt; Barbara is willing to marry Kevin and Larry; Carol is willing to marry Jason, Nick, and Oscar; Diane is willing to marry Jason, Larry, Nick, and Oscar; and Elizabeth is willing to marry Jason and Matt. Identify a matching of the young women and the young men on the island such that each young woman is matched with a young man whom she is willing to marry. (You must provide an answer before moving to the next part.) Multiple Choice AL, BN, CO, DJ, and EM AL, BK, CJ, DN, and EM AL, BK, CM, DO, and EN AJ, BL, CM, DO, and EN
Transcribed Image Text:Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the island and each man is willing to marry any woman who is willing to marry him. Suppose that Anna is willing to marry Jason, Larry, and Matt; Barbara is willing to marry Kevin and Larry; Carol is willing to marry Jason, Nick, and Oscar; Diane is willing to marry Jason, Larry, Nick, and Oscar; and Elizabeth is willing to marry Jason and Matt. Identify a matching of the young women and the young men on the island such that each young woman is matched with a young man whom she is willing to marry. (You must provide an answer before moving to the next part.) Multiple Choice AL, BN, CO, DJ, and EM AL, BK, CJ, DN, and EM AL, BK, CM, DO, and EN AJ, BL, CM, DO, and EN
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