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You can consider a short circuit to be a resistor with R=0 Ohms. It is then clear by the equation for calculation of parallel resistance that the combined resistance of a resistor in parallel to a short circuit is 0.

Consider the following example with R1= 1k Ohms and R2= 0 Ohms:

Rtotal = R1*R2 / (R1+R2) = R1*0 / R1 = 0 Ohms.

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