[求助]急问一道prep上面的DS题

Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives.  Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?

(1)  One of the six countries sent 41 representatives to the congress.

(2)  Country A sent fewer than 12 representatives to the congress.

答案是E. 我是拿数字进去试 试了好久才试出来的 而且我觉得这种方法很容易出错 请问一下有什么比较简便的方法吗? 或者大家来讨论一下自己的解法吧...

如果A等于最大值9，那么其他4个国家最大就是8+7+6+5＝26，26＋9＝35

由于35＋41＝76，所以9是成立的，选E