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maths question please help

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how many whole integral solutions does the equation

[math] x_1 +x_2 + ...... x_n = c [/math]

have if [math] 0 < x_1 < k_1 , 0 < x_2 < k_2 .......0 < x_n < k_n [/math]

and c and k are constants.

 

This problem is analogous to the to this if a number of people have each some amount of money(may or may not be the same amount) , in how many ways can they pay a bill.

 

I cannot understand how to do this question please help.

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