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Questions and Answers
What does the binomial theorem describe?
What does the binomial theorem describe?
- The factorization of binomials
- The algebraic expansion of powers of a binomial (correct)
- The calculation of binomial coefficients
- The simplification of binomial expressions
What are the possible values of the exponents b and c in the expansion of (x + y)^n?
What are the possible values of the exponents b and c in the expansion of (x + y)^n?
- Prime numbers that add up to n
- Even numbers that multiply to give n
- Any positive integers
- Nonnegative integers that satisfy b + c = n (correct)
What does the term ( n choose b ) represent?
What does the term ( n choose b ) represent?
- The result of multiplying n by b
- The number of permutations of b elements from an n-element set
- The value of a specific binomial coefficient
- The number of different combinations of b elements that can be chosen from an n-element set (correct)
What are the coefficients for varying n and b arranged to form?
What are the coefficients for varying n and b arranged to form?
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In combinatorics, what does the term ( n choose b ) often represent?
In combinatorics, what does the term ( n choose b ) often represent?
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