题目内容
满足{0,1}⊆P?{0,1,2,3,4}的集合P的个数有 个.
考点:集合的包含关系判断及应用,子集与真子集
专题:阅读型
分析:根据题意,列举满足{0,1}⊆P?{0,1,2,3,4}的集合P,进而可得答案.
解答:
解:根据题意,满足{0,1}⊆P?{0,1,2,3,4}的集合P有
{0,1}、{0,1,2}、{0,1,3}、{0,1,4}、{0,1,2,3}、{0,1,2,4}、{0,1,3,4},
共7个;
故答案为7.
{0,1}、{0,1,2}、{0,1,3}、{0,1,4}、{0,1,2,3}、{0,1,2,4}、{0,1,3,4},
共7个;
故答案为7.
点评:本题考查集合的子集、真子集的定义,关键是分析出集合P中的元素.
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