Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
Three
Four
Five
Six
Seven
题干问的是要抽几次才能保证其中任意抽出的2个数字之和是10.假设最坏的情况,抽出的是 0,1,2,3,4,5,这几个数任意2个加起来都不等于10.那么这样一共抽了6次.从第7次开始,抽出的数和前面的相加都等于10.所以选E
1+9
2+8
3+7
4+6
0
5
要取7个才能确保有两张纸的数字和为10,因为6个的极端情况(012345或056789)ensure的题目要考虑最坏情况
极端情况抽到0123456或者0987654
直接推理最坏情况,出来的分别是0开始到5,那么就是抽了6次,第七次一定有一个组合可以满足10
ensure的题目要考虑最坏情况
1+9
2+8
3+7
4+6
0
5
要取7个才能确保有两张纸的数字和为10,因为6个的极端情况(012345或056789)
e