Permutations and Combinations in SequenceableCollection

>
> 2010/1/5 Eliot Miranda <[hidden email]>
>
>>
>>
>> 2010/1/5 John Toohey <[hidden email]>
>>
>>> Yep, the four scores would be 1 point conversion, 2 point conversion or a
>>> safety, 3 point field goal, and a 6 point touchdown. Although the 1 point
>>> can only come after a 6 point touchdown, so any score with just a 1 point
>>> would not be possible, but in theory, you could have 2-2, 4-4 etc.
>>
>>
>> So that has to be #(0), (2 to: limit) allPairsDo: right? Since 2 is the
>> lowest score, 3 the next, 4 = 2 + 2, 5 = 3 + 2, right?
>>
>>
>>>
>>> 2010/1/5 Eliot Miranda <[hidden email]>
>>>
>>>
>>>>
>>>> 2010/1/5 John Toohey <[hidden email]>
>>>>
>>>> :-)
>>>>>
>>>>> I don't suppose you have an equally elegant solution to the scores for a
>>>>> NFL game, where the units can be 1,2,3,6, assuming that each team could
>>>>> score a total of say, 35 points.
>>>>>
>>>>
>>>> Since the increments include 1 this is equivalent to (0 to: max)
>>>> allPairsDo: ...  i.e. it is possible for a team to continue to score a
>>>> single point, therefore the possible pairs of scores are all the pairs from
>>>> 0 to N.
>>>>
>>>> But isn't American Football more complex?  an't you only score 1 after
>>>> scoring a touchdown?  What are the scoring rules?  In any case your numbers
>>>> are so small that you can use brute force and enumerate all possible
>>>> combinations, filtering totals that exceed your limit.
>>>>
>>>>
>>>>>
>>>>> On Tue, Jan 5, 2010 at 21:26, Randal L. Schwartz <[hidden email]
>>>>>> wrote:
>>>>>
>>>>>>>>>>> "John" == John Toohey <[hidden email]> writes:
>>>>>>
>>>>>> John> Thank you, duly chastened. I did know the formulae for P and C,
>>>>>> but didn't
>>>>>> John> know how to add the repetitions. My original code was :-
>>>>>> John> |c|
>>>>>> John> c := SortedCollection new.
>>>>>> John> c add: '0, 0'; add:'1, 1'; add: '2, 2'; add:'3, 3'; add: '4, 4'.
>>>>>> John> (0 to: 4) combinations: 2 atATimeDo:[:each | c add: each
>>>>>> asCommaString.  c
>>>>>> John> add:( each reverse) asCommaString].
>>>>>>
>>>>>> "Every time I cut with this wide saw, it removes 1/2 inch from the
>>>>>> wood!
>>>>>> I'll just glue it back after the cuts!"
>>>>>>
>>>>>> "why don't you just use the laser cutter?  no losses!"
>>>>>>
>>>>>> :-)
>>>>>>
>>>>>> --
>>>>>> Randal L. Schwartz - Stonehenge Consulting Services, Inc. - +1 503 777
>>>>>> 0095
>>>>>> <[hidden email]> <URL:http://www.stonehenge.com/merlyn/>
>>>>>> Smalltalk/Perl/Unix consulting, Technical writing, Comedy, etc. etc.
>>>>>> See http://methodsandmessages.vox.com/ for Smalltalk and Seaside
>>>>>> discussion
>>>>>>
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>>>>>
>>>>>
>>>>>
>>>>> --
>>>>> -JT
>>>>>
>>>>>
>>>>>
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>>>
>>>
>>> --
>>> -JT
>>>
>>>
>>>
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>
>
>
> --
> -JT
>