[Q. ] 請問一題GWD題目

作者: chestnut42   2017-12-29 07:44:13
Of the 32 students in a certain class, 15 are in a music club and 20 are
in a dance club. If 10 of the students are not in either club, how many of
the students are in only one of the two clubs?
A. 5 B. 9 C.10 D. 17 E. 25
如果設兩個社團都都參加為X
15+20-X+10=32, X=13
請問只參加一個社團的人數的算法用兩者聯集減掉交集
15+20-13=22是哪裡出了問題呢?
謝謝
作者: liu1991 (tsungyi)   2017-12-29 08:09:00
應該是(15-13)+(20-13)=9
作者: wakamala (wakamala)   2017-12-29 09:02:00
15+20-13是兩個社團的人減掉重複計算的人, 所以兩個社團都參加的人還是有包含在內
作者: chestnut42   2017-12-30 00:48:00
感謝樓上兩位的解說

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