Mathematics · JEE | BINOMIAL THEOREM

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The number of terms in the expansion of \( (x + y)^n \) is \( n + 1 \). Reason (R): In the expansion of \( (a + b)^n \), the powers of the first quantity \( a \) go on decreasing by 1 whereas the powers of the second quantity \( b \) increase by 1. In the light of the above statements, choose the correct answer from the options given below:

1. A
   Both (A) and (R) are true and (R) is the correct explanation of (A).
2. B
   Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
3. C
   (A) is true but (R) is false.
4. D
   (A) is false but (R) is true.