Binomial Theorem Quiz
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Questions and Answers

What form do the terms take in the expansion of (x + y)^n?

  • $ax^n + by^n$
  • $x^ay^b$ where $a + b = n$
  • $ax^nby$ where $a + b = n$
  • $ax^by^c$ where $b + c = n$ (correct)
  • What does the binomial theorem describe?

  • Algebraic manipulation of binomials
  • Factorization of binomials
  • Solving equations with binomial coefficients
  • Algebraic expansion of powers of a binomial (correct)
  • What is the binomial coefficient $\binom{n}{b}$ also known as?

  • The coefficient of determination
  • Pascal's coefficient
  • Combinatorial coefficient
  • $\binom{n}{c}$ (correct)
  • What does $\binom{n}{b}$ 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 common way of pronouncing $\binom{n}{b}$?

    <p>&quot;$n$ choose $b$&quot;</p> Signup and view all the answers

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