TSA 2018 · Question 42 · Probability
SaveIn the main draw of a lottery, six of the balls (which are numbered from 1 to 49) are selected at random, then the numbers chosen are rearranged and displayed in ascending numerical order. For instance: 3, 17, 20, 29, 34, 45. In one draw recently, I noticed that the six numbers were made up of a total of ten digits, all different. The lowest number on this occasion was 1 and the highest number was 49, so the range of the six numbers was 48, the greatest possible range for the lottery main draw.
What is the smallest possible range when the six numbers in the main draw of the lottery have a total of ten digits, all different?