Question

Help me please! I am in desperate need

Answer 1

C. The coefficients of
`x^ay^b` and
`x^by^a` are equal.

Explanation:

The binomial theorem is given as:

`(x+y)^n=\sum_(k=0)^(n) \binom{n}{k}x^(n-k)y^k`

`n-k+k=n`, and the coefficient of these terms are represented by
`\binom{n}{k}`.

*Note
`\binom{n}{k}=\binom{n}{n-k}=(n!)/(k!(n-k)!)`

Therefore the coefficients of
`x^ay^b` and
`x^by^a` are equal.