Article 21/A of the Indian Constitution provides the right to education as a fundamental right for children between the ages of 6 and 14 years. This was added through the 86{th} Constitutional Amendment in 2002. It mandates that the State shall provide free and compulsory education to children in this age group.
Step 1: Analyze the options.
(A) 45{th} Article: This article originally provided for free and compulsory education, but it was later replaced by Article 21/A.
(B) 21{st} Article: This article does not relate to education as a fundamental right.
(C) 73{rd} Article: This article deals with powers of Panchayats, not education.
(D) 21/A article: This is the correct answer. Article 21/A provides the right to education as a fundamental right for children.
Step 2: Conclusion.
The correct answer is (D), Article 21/A.
Final Answer:
\[
\boxed{(D) \, \text{21/A article}}
\]