Final answer:
The coefficients in the expansion of (x + y)⁵ are determined using the binomial theorem and correspond to the fifth row of Pascal's triangle, thus the correct answer is B. 1, 5, 10, 10, 5, 1.
Step-by-step explanation:
The coefficients in the expansion of (x + y)⁵ come from the binomial theorem which is applicable in binomial expansions. The binomial theorem states that the expansion of a binomial raised to a power n can be expressed as a series.
For (x + y)⁵, we can apply the binomial theorem to find out each term of the expansion. Specifically, the coefficients correspond to the terms of Pascal's triangle for the fifth row, which are based on the formula for combinations: 1, 5, 10, 10, 5, 1. These coefficients can be calculated using the formula for binomial coefficients ℓ₍ₙₘ₎ₑ= ℓ! / (k!(ℓ-k)!).
The correct answer to the question is therefore B. 1, 5, 10, 10, 5, 1, which corresponds to the coefficients of the terms in the expansion of (x + y)⁵ from the highest power of x to the lowest.