Take all the Roman numbers (using the modern standard subtractive notation in which IV = 4, IX = 9, XL = 40, XLIX = 49, XC = 90, etc.) from I to M (1 to 1000)...
1. Which number has the most Roman letters?
2. If you group them by the number of Roman letters, which group has the most members?
3. How many numbers start with C?
4. There is something interesting about the groupings in #2. What is it?
2. There are 208 members in the 6-letter group.
3. 500 of them start with C.
4.4. The groups with the 5- and 7-letter numbers both have 180 members, 4- and 8-letter groups both have 123 members, 3- and 9-letter groups both have 62 members, and 2- and 10-letter groups both have 24 members.
Edited on June 23, 2023, 1:47 am
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