All cases are in the figure below. Equivalent resistances are

Between A) and B)

`R_("eq") = R1 "parallel" (R2 "series" R3) = R1 "parallel" (R2+R3) = (R1*(R2+R3))/(R1+R2+R3)`

Between A) and C)

`R_(eq) = (R1 "series" R2) "parallel" R3 = (R1+R2) "parallel" R3 =(R1+R2)*R3/(R1+R2+R3)`

Between A) and D)

`R_(eq) = ((R1 "series" R2) "parallel" R3) "series" R4 = (R1+R2) "parallel" R3) + R4 = ((R1+R2)R3)/(R1+R2+R3) + R4`

Between B) and C)

`R_(eq) = R2 "parallel" (R1 "series" R3) = R2 "parallel" (R1+R3) = R2(R1+R3)/(R1+R2+R3)`

Between B) and D)

`R_(eq) = R2 "series" R4 = R2 +R4`

Between C) and D)

`R_(eq) = R4`

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