(a) From the results of Section 3.6.3 we can conclude that there are nonnegative integer valued solutions...
Question:
(a) From the results of Section 3.6.3 we can conclude that there are
nonnegative integer valued solutions of the equation x1 +· · ·+xm = n.
Prove this directly.
(b) How many positive integer valued solutions of x1 + · · · + xm = n are there?
Hint: Let yi = xi −1.
(c) For the Bose–Einstein distribution, compute the probability that exactly k of the Xi are equal to 0.
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