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Questions and Answers
What does the binomial theorem describe?
What does the binomial theorem describe?
- The algebraic expansion of powers of a binomial (correct)
- The geometric properties of a binomial
- The factorization of binomials
- The differentiation of binomial functions
What does the binomial coefficient $\binom{n}{b}$ represent?
What does the binomial coefficient $\binom{n}{b}$ represent?
- The number of subsets of b elements from an n-element set
- The coefficient a in the expansion of $(x + y)^n$
- The number of permutations of b elements from an n-element set
- The number of combinations of b elements from an n-element set (correct)
In the expansion of $(x + y)^n$, what are the exponents b and c required to satisfy?
In the expansion of $(x + y)^n$, what are the exponents b and c required to satisfy?
- $b - c = n$
- $b^2 + c^2 = n^2$
- $b + c = n$ (correct)
- $bc = n$
What is the historical significance of the binomial theorem?
What is the historical significance of the binomial theorem?
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What did Indian mathematician Aryabhata suggest he knew in relation to the binomial theorem?
What did Indian mathematician Aryabhata suggest he knew in relation to the binomial theorem?
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