perplexus.info :: Numbers : Permuted Duodecimal Mean Muse

Permuted Duodecimal Mean Muse (Posted on 2022-12-19)

The following sum is constituted for each permutation p₁, p₂, p₃,..., p₉, p_A, p_B, p₁₀ of the duodecimal (base 12) integers 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, 10:

|p₁-p₂|+|p₃-p₄|+|p₅-p₆|+|p₇-p₈|+|p₉-p_A|+|p_B-p₁₀|

Determine the average value of all such sums.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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

Subject	Author	Date
Solution and Generalization	Brian Smith	2022-12-19 13:10:44
re(2): Solution	Larry	2022-12-19 13:01:06
re: Solution	Charlie	2022-12-19 07:56:17
solution	Charlie	2022-12-19 07:41:38
Solution	Larry	2022-12-19 07:03:49

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info