Question

The coefficients in the expansion of (x+y)^6 are _______

A) 0,6,15,20,15,6,0

B) 1,6,15,20,15,6,1,

C) 1,6,15,15,6,1

D) 0,1,6,15,15,6,1,0

Answer 1

1, 6, 15, 20,15, 6, 1,

Explanation:

apex

Answer 2

Using Binomial Theorem, we will know that each term will have binomial coefficients nCk (n choose k) for 0 ≤ k ≤ 6

Here, we have n = 6 so coefficients are ₆C₀, ₆C₁, ₆C₂, ₆C₃, ₆C₄, ₆C₅, ₆C₆

Which is same as 1, 6, 15, 20,15, 6, 1, respectively, therefore answer is B.

Another way to solve is to look at 6th row of pascal's triangle.