Binomial Theorem Quiz
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Questions and Answers

Which term in the expansion of $(x + y)^n$ contains the binomial coefficient?

  • $by^n$
  • $ax^by^{n-b}$ (correct)
  • $ax^{n-b}y^b$
  • $ax^n$

    • What is the relationship between the exponents $b$ and $c$ in the expansion of $(x + y)^n$?

  • $b - c = n$
  • $b + c = n$ (correct)
  • $b = c$
  • $b imes c = n$

    • What is the binomial coefficient in the term $ax^2y^3$?

  • $2$
  • $a$
  • $3$
  • $5$ (correct)

    • What does the binomial coefficient represent in combinatorics?

    <p>The number of different combinations of $b$ elements that can be chosen from an $n$-element set</p> Signup and view all the answers

    What is another name for the binomial coefficient?

    <p>The combination coefficient</p> Signup and view all the answers

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