How many integer solutions are there to x1 + x2 + x3 + x4 + x5 = 31 with (a)  Xi >= 0                         (b)  Xi > 0                              (c)  Xi >= i  (where i = 1, 2, 3, 4, 5)

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How many integer solutions are there to x1 + x2 + x3 + x4 + x5 = 31 with

(a)  Xi >= 0                        

(b)  Xi > 0                             

(c)  Xi >= i  (where i = 1, 2, 3, 4, 5)

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