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  3. There are between 200 and 300 alien fingers in a room. Each alien has more than

There are between 200 and 300 alien fingers in a room. Each alien has more than

游客2023-10-18  59
问题 There are between 200 and 300 alien fingers in a room. Each alien has more than one finger on each hand, each has a different number of fingers on each hand, and all of the aliens have the same total number of fingers. How many aliens are there in the room?
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答案 至少2个，最多11个
解析 (根据题目可知，一共有200—300根手指，每个人每只手上的手指数不一样，且每个人的左右手手指数总和相等。用排列组合。最少应该有2个，设为甲、乙。则甲左右手手指：49、52。乙：50、51。49+50+51+52=202。最多有11个人，手指的数目依次为：2、23；3、22；4、21；5、20；6、19；7、18；8、17；9、16；10、15；11、14；12、13；总和为275。所以说：至少有2个外星人，最多有11个。)
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