'n choose k' in Binomial Theorem

• The exponent for the term in the binomial expansion
• The sum of the binomial coefficients for a given n
• The factorial of n divided by the factorial of k
• The number of ways to choose k elements from a set of n elements (correct)

• (a + b)^n = Σ(n choose k) * a^k * b^(n-k), where k ranges from 0 to n
• (a + b)^n = Σ(n choose k) * a^(n-k) * b^k, where k ranges from 0 to n (correct)
• (a - b)^n = Σ(n choose k) * a^k * (-b)^(n-k), where k ranges from 0 to n
• (a - b)^n = Σ(n choose k) * a^(n-k) * (-b)^k, where k ranges from 0 to n

• The terms in the binomial expansion are arranged in a pattern similar to Pascal's triangle
• Pascal's triangle provides an alternative method for expanding binomial expressions
• The coefficients in the binomial expansion can be found in Pascal's triangle (correct)
• Pascal's triangle can be used to calculate the value of 'n choose k'