Duong noticed that 1C0 + 1C1 = 21. He tried 2C0 + 2C1 + 2C2 = 22 and found that it worked also. Homework Help ✎
Does 3C0 + 3C1 + 3C2 + 3C3 = 23?
Does 4C0 + 4C1 + 4C2 + 4C3 + 4C4 = 24?
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.