香草,草莓,巧克力三个口味在60个人里做调查,让他们rank,已知没有任何一个人会把任意两种口味排在并列的位置,也就是不存在并列第一或第二。结果是3/5的人把香草排最后,1/10把香草排在巧克力前面,1/3把香草排在草莓前面。问把香草味道排第一的人有几个。 答案有 6,10,14,16,24 From this statement alone 1/10把香草排在巧克力前, you know the answer has to be 6! 1 C/S S C V 2 S/C V V S/C 3 V C S C/S # 36 z y x 24 = z + y + x 6 = z + x 20 = x + y You add all 3 together: 50 = 2*(z + y + x) + x = 48 + x So x = 2. In viewing the above result, it is possible that LZ made a mistake in saying 1/10 把香草排在巧克力前. It should be 1/6 把香草排在巧克力前. Then 54 = 2*(z + y + x) + x = 48 + x. x = 6. -- by 会员 sdcar2010 (2010/12/24 23:46:34)
right, 我算出来也是2个 |