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Consider the equation x(1)+x(2)+x(3)=10 ...

Consider the equation `x_(1)+x_(2)+x_(3)`=10 , then
(i) Find the number of non-negative integral solution.
(ii) Find the positive integral solution.

Text Solution

Verified by Experts

`(i) ""^(10+3-1)C_(3-1)=""^(12)C_(2)=(12xx11)/(2)=66`
(ii)` ""^(10-1)C_(3-1)=""^(9)C_(2)=(9xx8)/(2)=36`
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