processed_dataset/calculation/0038.json

{
    "source_file": "./raw_volume-zh/volume1/exercise1.tex",
    "problem_type": "calculation",
    "problem": "问题5: 已知非空数集 $M \\subseteq\\{1,2,3,4,5\\}$, 则满足条件“若 $x \\in M$, 则 $6-x \\in M$ ” 的集合 $M$ 的个数是",
    "solution": "解: 7. 因为 $1+5=2+4=3+3$, 故 $M$可以是 $\\{3\\},\\{1,5\\},\\{2,4\\},\\{1,3,5\\},\\{2,3,4\\},\\{1,2,4,5\\},\\{1,2,3$, $4,5\\}$.",
    "remark": "",
    "figures": []
}