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  • 邏輯題

    邏輯題
    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:
    英語人氣:366 ℃時(shí)間:2020-04-17 17:09:25
    優(yōu)質(zhì)解答
    5女玩牌 每人五張 牌有5種顏色 .以下皆正確;
    1.任何人只要有黃牌則必有張橙牌.=> 有橙必有黃,
    2.任何人如果有黃牌與紅牌則必有一張藍(lán)牌.=> 有黃 藍(lán)必有紅 或者有藍(lán) 紅必有黃
    3.如果沒有黃牌,就有綠牌.無綠就有黃.
    4.沒有橙牌也就沒有藍(lán)牌.=> 有藍(lán)就有橙.
    5.藍(lán)綠黃橙每個(gè)人至少有兩種顏色,只有一個(gè)女人的牌是五種顏色,這張牌別人都沒有 它是什么牌
    五種顏色分別是 紅 黃 綠 藍(lán) 橙
    假設(shè)1它是綠色,3可知其它人都有黃色 ,1可知其它人也有橙色 與題設(shè)相符,成立.
    假設(shè)2它是黃色,3可知其它人都有綠色,4,5加上橙或藍(lán)都與題設(shè)矛盾,1有橙或藍(lán)都得有黃牌.
    假設(shè)345同理 與題設(shè)矛盾,所以顏色是綠色
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