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Up and up (Posted on 2010-05-04) Difficulty: 4 of 5
What is the number of non-decreasing sequences of (n+1) integers from 0 to n?

Example: f(2)=10 i.e. (000,001, 002, 011, 012, 022,111,112,122,222))

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

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Solution | Comment 1 of 2
f(n) = product(n+i,i=1..n+1)/(n+1)! = product(n+i,i=2..n+1)/n!
  Posted by Robby Goetschalckx on 2010-05-04 16:09:06
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