Find the Coefficient of the Term $x ^ { 6 } y ^ { 8 }$

question 66

Multiple Choice

Find the coefficient of the term $x ^ { 6 } y ^ { 8 }$ in the expansion of the binomial $( x - y ) ^ { 14 }$ .

• A) \(3,003\)
• B) \(2,997\)
• C) \(- 2,979\)
• D) \(- 2,985\)
• E) \(- 2,973\)

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Definitions:

Misrepresentation

The assertion of a fact that is not in accord with the truth. A contract can be rescinded on the ground of misrepresentation when the assertion relates to a material fact or is made fraudulently and the other party actually and justifiably relies on the assertion.

Material Fact

A fact that is significant or essential to the issue or matter at hand, and if known, could influence an individual's decision in a transaction, contract, or legal case.

Reliance

The act of depending or counting on something or someone; in legal contexts, it often refers to actions taken based on the trust in a promise or statement by another party.

Good Faith

An honest intention to act without taking an unfair advantage over another party, often a principle in contract law.