Step 1: Venturimeter is the classic instrument installed in a pipeline purely to measure the rate of discharge flowing through it, using the pressure drop between its throat and inlet, so (A) Venturimeter matches (IV) discharge measurement.
Step 2: Pitot tube measures the local velocity head at a point by comparing static and stagnation pressure, and since this pressure difference is usually small, it is commonly read using a sensitive differential manometer such as an inverted U-tube manometer (used when the gauge fluid is lighter than the flowing fluid). So (B) Pitot tube matches (II) inverted U-tube.
Step 3: An orifice used for flow measurement from a pipe is typically fitted right at the end of the pipe, water jets out through it and the discharge is found from the jet's dimensions, matching (C) Orifice with (I) end of pipe.
Step 4: An elbow meter uses the pressure difference across a pipe bend to estimate flow, but because every bend is a little different, its discharge coefficient is not fixed and is generally quoted in the range of about 0.63 to 0.83, requiring field calibration. So (D) Elbow meter matches (III) flow coefficient 0.63 to 0.83.
Step 5: Putting it together, (A)-(IV), (B)-(II), (C)-(I), (D)-(III), which is option 3.