Concept:
Deficiency diseases occur when the body lacks essential nutrients such as vitamins, minerals, or proteins.
Step 1: Identify the cause of Goitre.
Goitre occurs due to deficiency of:
\[
\text{Iodine}
\]
Thus:
\[
A \rightarrow II
\]
Step 2: Identify the cause of Anaemia.
Anaemia is caused mainly by deficiency of:
\[
\text{Iron}
\]
Thus:
\[
B \rightarrow IV
\]
Step 3: Identify the cause of Rickets.
Rickets occurs due to deficiency of:
\[
\text{Vitamin D}
\]
Thus:
\[
C \rightarrow I
\]
Step 4: Identify the cause of Kwashiorkor.
Kwashiorkor is caused by severe deficiency of:
\[
\text{Protein}
\]
Thus:
\[
D \rightarrow III
\]
Step 5: Write the complete matching.
The correct sequence becomes:
\[
A-II,\; B-IV,\; C-I,\; D-III
\]
Step 6: Conclusion.
Therefore, the correct answer is:
\[
\boxed{A\text{-}II,\; B\text{-}IV,\; C\text{-}I,\; D\text{-}III}
\]