Question

What is the total number of terms in the expansion of \( (x+y)^{15} \)?

• A. \(15 \)
• B. \(16 \)
• C. \(14 \)
• D. \(30 \)

Hint:

For binomial expansion \( (a+b)^n \), always remember: Total number of terms = \(n+1\).

Answer 1

The Correct Option is B

Concept: The binomial expansion (a+b)ⁿ has exactly n+1 terms, as powers of b run from 0 to n.

Step 1: Apply the term-count rule.
For (x+y)¹⁵, n=15 → terms = 15+1 = 16.

Final Answer: 16 (option B).