Step 1: Understand the matching.
We must pair education commissions (a) Secondary Education Commission, (b) University Education Commission, (c) Kothari Commission, (d) Calcutta University Commission with their chairmen.
Step 2: Match commission a.
The Secondary Education Commission (1952) was chaired by A. Lakshmanaswami Mudaliar, giving $a \rightarrow II$.
Step 3: Match commission b.
The University Education Commission (1948) was chaired by Dr. S. Radhakrishnan, giving $b \rightarrow I$.
Step 4: Match commission c.
The Kothari Commission (1964 to 1966) was chaired by D. S. Kothari, giving $c \rightarrow IV$.
Step 5: Match commission d.
The Calcutta University Commission (1917), or Sadler Commission, was chaired by M. E. Sadler, giving $d \rightarrow III$.
Step 6: Assemble and select.
The set $a\text{-}II, b\text{-}I, c\text{-}IV, d\text{-}III$ is option B.
\[ \boxed{a\text{-}II,\ b\text{-}I,\ c\text{-}IV,\ d\text{-}III} \]