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No. of solutions to the following inequality 12 <= w + x + y + z <= 14 where w,x,y,z>=0
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One of the method is have cases

Case 1: w+x+y+z = 12

Case 2: w+x+y+z = 13

Case 3: w+x+y+z = 14.

Upon applying IODB – star bar template
no of solutions = = 15C3 + 16C3 + 17C3
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