$$\text { What is the coefficient of } x ^ { 7 } y ^ { 12 } \text { in } ( x + y ) ^ { 19 } \text { and in } ( 2 x + 3 y ) ^ { 19 } ?$$

question 12

Essay

$$\text { What is the coefficient of } x ^ { 7 } y ^ { 12 } \text { in } ( x + y ) ^ { 19 } \text { and in } ( 2 x + 3 y ) ^ { 19 } ?$$

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Definitions:

Puberty

A phase of human development during which a child's body matures into an adult body capable of sexual reproduction.

Survey

A research method that involves collecting data from a predefined group of respondents to gain information and insights on various topics.

Deceptive Procedures

Methods used in research that involve misleading participants about the true purpose of a study or experiment.

Ethical Guidelines

A set of principles designed to help professionals conduct business honestly and with integrity, particularly in research and clinical practices.