What is the number of distinct terms in the expansion of (a + b + c)^{20}?

- 210
- 231
- 242
- 253

**Answer**

Number of terms in the given expansion is nothing but the non-negative integral solutions of the equation:

a + b + c = 20

Total number of non-negative integral solutions

^{(20+3-1)}C_{(3-1)} = ^{22}C_{2} = 231

**The correct option is B.**