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Find the number of integer solutions to x1+x2+x3=20 given the following restrictions: (A) x1>=3, x2>=2,x3>=5 (B)...

Find the number of integer solutions to x1+x2+x3=20 given the following restrictions:

(A) x1>=3, x2>=2,x3>=5

(B) x1>=0, x2>=0, x3<=6

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