逻辑题Five women are playing a card game in which they each hav
逻辑题
Five women are playing a card game in which they each have five cards.Each card is
one of five different colors.All of the following statements are true:
(I) Any player who has a yellow card also has an orange card.
(II) Only if a player has a yellow and a red card does she have a blue card.
(III) A player has a green card if she does not have a yellow card.
(IV) A player does not have a blue card only if she does not have an orange card.
(V) Of blue,green,yellow and orange cards,each player has at least two colors.
Only one player currently has one card of each color.This woman is the only player
holding a card that is:
Five women are playing a card game in which they each have five cards.Each card is
one of five different colors.All of the following statements are true:
(I) Any player who has a yellow card also has an orange card.
(II) Only if a player has a yellow and a red card does she have a blue card.
(III) A player has a green card if she does not have a yellow card.
(IV) A player does not have a blue card only if she does not have an orange card.
(V) Of blue,green,yellow and orange cards,each player has at least two colors.
Only one player currently has one card of each color.This woman is the only player
holding a card that is:
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5女玩牌 每人五张 牌有5种颜色 .以下皆正确；
1.任何人只要有黄牌则必有张橙牌.=> 有橙必有黄,
2.任何人如果有黄牌与红牌则必有一张蓝牌.=> 有黄 蓝必有红 或者有蓝 红必有黄
3.如果没有黄牌,就有绿牌.无绿就有黄.
4.没有橙牌也就没有蓝牌.=> 有蓝就有橙.
5.蓝绿黄橙每个人至少有两种颜色,只有一个女人的牌是五种颜色,这张牌别人都没有 它是什么牌
五种颜色分别是 红 黄 绿 蓝 橙
假设1它是绿色,3可知其它人都有黄色 ,1可知其它人也有橙色 与题设相符,成立.
假设2它是黄色,3可知其它人都有绿色,4,5加上橙或蓝都与题设矛盾,1有橙或蓝都得有黄牌.
假设345同理 与题设矛盾,所以颜色是绿色
1.任何人只要有黄牌则必有张橙牌.=> 有橙必有黄,
2.任何人如果有黄牌与红牌则必有一张蓝牌.=> 有黄 蓝必有红 或者有蓝 红必有黄
3.如果没有黄牌,就有绿牌.无绿就有黄.
4.没有橙牌也就没有蓝牌.=> 有蓝就有橙.
5.蓝绿黄橙每个人至少有两种颜色,只有一个女人的牌是五种颜色,这张牌别人都没有 它是什么牌
五种颜色分别是 红 黄 绿 蓝 橙
假设1它是绿色,3可知其它人都有黄色 ,1可知其它人也有橙色 与题设相符,成立.
假设2它是黄色,3可知其它人都有绿色,4,5加上橙或蓝都与题设矛盾,1有橙或蓝都得有黄牌.
假设345同理 与题设矛盾,所以颜色是绿色
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