Question

The number of terms in the expansion of (x + y + z)¹⁰ is –

• A. 11
• B. 33
• C. 66
• D. None

Answer 1

Answer: (C)

66

Answer 2

The number of terms in multinomial theorem is

^{n + r – 1}C_{r – 1} .

So ^{10 + 3 – 1}C_{3 – 1} = ¹²C₂ = $\frac{12 \times 11}{2}$= 66