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QuizMultiple Choice

The Binomial Theorem

Question 1 • Adv. Algebra II S1 Original

The following list gives the coefficients for the binomial expansion of (x + y)10. What is the value of B? 1, 10, 45, 120, 210, 252, 210, B, 45, 10, 1

Answer
A
1
B
10
C
45
D
120

Explanation

The coefficients of (x + y)^10 are the entries in row 10 of Pascal’s triangle. They are symmetric, so the coefficient in the eighth position matches the coefficient in the fourth position: 120. Therefore, B is 120, choice D.

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