@tomleslie Thank you. To answer your question I pretty much wanted the output to replicate the picture posted.

@Carl Love 
Thankyou. After c:= max(indices(Data, nolist));

"Error, invalid input: indices received Data, which is not valid for its 1st argument, t"

interface(rtablesize= max(26, c)):
Error, (in interface) rtablesize must be a positive integer, or infinity

I need to upgrade to M2016 I guess.

Since I posted the question I had more of a go and used SOWPODS (freely downloadable) as my dictionary. (one word length at a time)

letter_freq.mw

@Markiyan Hirnyk 

OSPD3 conflates English two letter words (what I want) with abbreviations, shorthand or acronyms.

"FT" or "BP" aren't words as such but as acronyms or abbreviations have many meanings.

https://en.oxforddictionaries.com/explore/two-letter-words

@tomleslie because I'm Australian... but I know it involves projectile motion. Thanks for fixing my worksheet, I had the Cartesian coords for Larry etc incorrect, .....

see also

http://www.mapleprimes.com/questions/119418-Interpolation-Of-3D-Data#answer119675

@Doug Meade but I get errors when I run your code in M2015.

"error: reserved word 'uses ' unexpected". and when i use with(ListTools), I get "error, unexpected local"

@vv and add8(275,572)=1067

@Carl Love it seems my error it has spread like contagion to vv and Axel!

Tom and @acer Wow.

@tomleslie pls enlighten me

numtheory[order](10, p), the command I was looking for...

I day after posting I found a similar question on the forum and you answered the same way, with MathML:-Export.

Indeed it does export, and in Mma the command is ImportString[mml,"Expression"], where mml is the MathML string From Maple.

Then you can import the expression back into Maple with MmaTranslator. Rgds!

@tomleslie  "Run as Administrator" and then HelpTools:-Database:-ConvertAll() did the trick. No error. Good job!

@Carl Love Yes. No pair can appear as part of one of the groups of three more than once. have you got mathematica? there is code for a Kirkman Triple here

http://mathworld.wolfram.com/KirkmansSchoolgirlProblem.html

tried to translate it into maple, but in truth i can't make head nor tail of it....

@Kitonum thanks. i tried to modify your code for the 3 player 4 group one but i obviously have a bug in it

social_golfer_problem.mw