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Home > A2C > Chapter 12 > Lesson 12.4.2 > Problem 12-187

12-187.
  1. Duong noticed that 1C0 + 1C1 = 21. He tried 2C0 + 2C1 + 2C2 = 22 and found that it worked also. Homework Help ✎

    1. Does 3C0 + 3C1 + 3C2 + 3C3 = 23?

    2. Does 4C0 + 4C1 + 4C2 + 4C3 + 4C4 = 24?

    3. Explain why nC0 + nC1 + nC2 + …+ nCn = 2n .

Use your calculator to test the expression.

Yes, it also works.

See part (a).

Any reasonable explanation is acceptable.