Five integers between 10 and 99, inclusive, are to be formed by using each of the ten digits exactly once in such a way that the sum of the five integers is as small as possible.What is the greatest possible integer that could be among these five numbers?
98
91
59
50
37
题目意思:
5个整数在【10,99】中,这五个整数必须从ten digits ( 0 1 2 3 4 5 6 7 8 9 )中取一次而组成的两位数,使得这5个整数之和越小越好。问最大可能组成的整数是多少?
5个整数在【10,99】中相当与限定了5个整数都是两位数的整数
可知5个整数的十位数从 (1 2 3 4 5)中取,个位数从 (0 6 7 8 9),这种情况下5个整数和最小,和为180
故最大可能的数为59
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