#12179: Binomial of integer (mod n) returns integer
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       Reporter:  scotts             |        Owner:  AlexGhitza
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.4
      Component:  basic arithmetic   |   Resolution:
       Keywords:  binomial           |    Merged in:
  coefficient modulo sd35            |    Reviewers:  Colton Pauderis,
        Authors:  Sam Scott, Marco   |  Johan Bosman, Marco Streng
  Streng                             |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |     Stopgaps:
   Dependencies:                     |
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Comment (by vdelecroix):

 Replying to [comment:24 mstreng]:
 > Replying to [comment:23 vdelecroix]:
 > > sage: R = Integers(21)
 > > sage: binomial(R(5), R(2))
 > > 10
 >
 > This should be {{{TypeError}}}, because {{{binomial(x,y)}}} makes no
 sense when y is an element of {{{R}}}. It only makes sense when y is an
 integer. For example, binomial(5, 2) = 10, but binomial(5, 2+21) = 0.
 >
 > So of the two points in the ticket description, the work in #17852 fixes
 the second one, but the first one is still open.

 Right!

--
Ticket URL: <http://trac.sagemath.org/ticket/12179#comment:25>
Sage <http://www.sagemath.org>
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