perplexus.info :: Numbers : Roman Trivia

Roman Trivia (Posted on 2009-05-17)

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?

Submitted by Sing4TheDay

Rating: 3.0000 (1 votes)

Solution: (Hide)

1. DCCCLXXXVIII (888)
2. There are 208 members in the 6-letter group.
3. 500 of them start with C.
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. I don't know exactly why this pattern exists but it's interesting to me that it does.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
More Puzzle Thoughts	K Sengupta	2023-06-23 01:45:27
Puzzle Thoughts	K Sengupta	2023-02-08 02:41:55
re(2): computer solution	Charlie	2009-05-19 11:43:35
re: computer solution	brianjn	2009-05-19 06:35:05
my output	Daniel	2009-05-17 17:04:47
computer solution	Charlie	2009-05-17 15:53:13
answers to 1,2,3 working on 4	Daniel	2009-05-17 14:11:26

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