Question: ContourPlot of a conditional sum

Dear friends,

 

A simplified version of my problem now is the following. I need to represent the contourplot in the plan (x,y)  of a conditional double sum:

 

contourplot( sum(  sum(   (i+j)!/k! * (101-j-k)!/(100-k)!    , j=0..1), k= 0..100), x=0..0.5, y=0..0.5)

 

where the sum runs under the condition that (j,k) satisfies  (  x+j*y+(1-x-y)/100*k >= 0.5  and  j*y+(1-x-y)/100*k < 0.5  )

 

I am a new user of Maple version 14.

 

Thanks in advance for the help.

 

Jean-Jacques.

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