Find the Indicated Term or Coefficient of the Binomial Expansion $( x + 2 y ) ^ { 12 }$

question 212

Multiple Choice

Find the indicated term or coefficient of the binomial expansion.
-Find the 11th term of the expansion of $( x + 2 y ) ^ { 12 }$ .

• A) \(33,792 x ^ { 2 } y ^ { 11 }\)
• B) \(33,792 \times 10 y ^ { 2 }\)
• C) \(67,584 \mathrm { x } ^ { 10 } \mathrm { y } ^ { 2 }\)
• D) \(67,584 x ^ { 2 } y 10\)

---

Definitions:

Typical Time

Generally refers to the usual or average time taken for a specific event or activity to occur.

Atypical Time

An irregular or unusual time period or instance, often deviating from what is commonly expected or normal.

Cohort

Refers to a group of people banded together or treated as a group, often used in studies to examine common characteristics or outcomes within the group over time.

Normative Age-Graded

Influences or events that are typical or expected to occur in a specific age period, affecting the majority of individuals within a culture or society in similar ways.