Step 1: Understanding the Concept
Genetic disorders are either Mendelian (single gene defects) or chromosomal (change in chromosome number).
Step 2: Match each disorder
Thalassemia is a Mendelian disorder, so A matches IV.
Turner's syndrome (44 + XO) is X-monosomy, so B matches I.
Klinefelter's syndrome (44 + XXY) has an extra X chromosome, so C matches II.
Down's syndrome is trisomy of chromosome 21, so D matches III.
Step 3: Select the option
The combination A-IV, B-I, C-II, D-III is given in option A.
Final Answer:
The correct matching is A-IV, B-I, C-II, D-III.
\[ \boxed{\text{(A) }\text{(A) - (IV), (B) - (I), (C) - (II), (D) - (III)}} \]