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Practice: Pascal’s Triangle and the Binomial Theorem

Shown is a partially filled-in picture of Pascal’s triangle. By spotting patterns, or otherwise, find the values of π‘Ž, 𝑏, 𝑐, and 𝑑.

  • Aπ‘Ž=9, 𝑏=12, 𝑐=21, and 𝑑=10
  • Bπ‘Ž=10, 𝑏=15, 𝑐=20, and 𝑑=11
  • Cπ‘Ž=10, 𝑏=15, 𝑐=21, and 𝑑=11
  • Dπ‘Ž=6, 𝑏=11, 𝑐=15, and 𝑑=10
  • Eπ‘Ž=6, 𝑏=11, 𝑐=21, and 𝑑=10

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