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Find the number of positive unequal inte...

Find the number of positive unequal integral solutions of the equation x+y+z+w=20.

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Find the number of positive unequal integral solution of the equation x+y+z=20

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Find the number of positive integral solutions of the equation x+y+z=12.

Find the number of positive integral solutions of the equation x+y+z=12.

Find the number of positive integral solutions of the equation x+y+z=12.

Find the number of positive integral solutions of the equation x+y+z=12.