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

游客2023-10-18  11

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?

选项

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。)
转载请注明原文地址:https://www.tihaiku.com/zcyy/3109464.html
最新回复(0)