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Questions and Answers
What form do the terms take in the expansion of (x + y)^n?
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?
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?
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?
What does $\binom{n}{b}$ represent in combinatorics?
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What is another common way of pronouncing $\binom{n}{b}$?
What is another common way of pronouncing $\binom{n}{b}$?
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