已知:非实数集M⊆{1,2,3,4,5},则满足条件“若x∈M,则6-x∈M”的集合M的个数是______.
人气:200 ℃ 时间:2020-03-29 05:12:32
解答
解∵M⊆{1,2,3,4,5},则满足条件“若x∈M,则6-x∈M”.1+5=2+4=3+3,
故M可以是{3},{1,5},{2,4},{1,3,5},{2,3,4},{1,2,4,5},{1,2,3,4,5},共7个.
故答案为:7.
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