高人帮我讲解一下这道题目吧！

sxcream

A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center.If either a single color or a pair of two diferent colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors,what is the minimum number of colors needed for the coding?(assume that the order of the colors in a pair does not matter.)

紫色OG上的一道题目。题干就看得我有点晕，后面的解答看得我更晕。麻烦高人帮我指点一下~

linn11

就是说用一种或两种颜色代表每一个center，问至少需要多少种颜色才能把12个centers分开表示

我觉得应该是5，答案是多少啊？

5种是这样算的：

一个颜色代表一个center，可以表示5个center；然后从5种颜色中取两个表示剩下的center，一共有10种取法，加起来一共是15

如果只有4种颜色只能表示4+6=10个center，不到12个

sxcream

答案确实是5个。呵呵，我的思路没对。而且OG后面的答案太专业，我没太看懂。谢谢啦！