Explanation:

- Let's consider the expansion of \((x + y)^{10}\).

- The general term of the expansion is \(\binom{10}{k} x^{10-k} y^k\).

- Statement 1: The 6th term corresponds to \(k = 5\), i.e., \(\binom{10}{5} = 252\). This coefficient is indeed the highest, as it is the middle term of a symmetric binomial distribution.

- Statement 2: Symmetry of binomial coefficients tells us \(\binom{10}{2} = \binom{10}{8}\). Hence, the 3rd term (for \(k = 2\)) and the 9th term (for \(k = 8\)) have equal coefficients.

Since both statements are correct, the option "Both 1 and 2" is the right choice.

Option:3, Both 1 and 2