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Class 11

Pascal's Triangle and the Binomial Theorem, Quiz

Five questions on Pascal's triangle and expanding with the binomial theorem. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. What is the coefficient of a4b2a^4b^2 in (a+b)6(a + b)^6?
  2. How many terms are there in the expansion of (x+y)9(x + y)^9?
  3. Expand (x+2)3(x + 2)^3.
  4. Find 7C0+7C1+⋯+7C7^7C_0 + {}^7C_1 + \cdots + {}^7C_7.
  5. Use the binomial theorem to find 1013101^3.
Unanswered questions are marked wrong.

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