Pascal' triangle is an appropriate additive for calculating the binomial coefficients.[br][br][b]Task[/b][br]Move sliders n and k to show [math]\binom{n}{k}[/math].[br]
Calculate the sum of each row. Is there a pattern in the results?[br][br]What is the Sum for Row 6?
Remember the binomial expansion of (1 + 1)[sup]n[/sup], so the sum of each row is [math]2^n[/math].[br] if n=6; then 2^6=64
As the slider is moved feom one number in the row to the other you can read the answer from the triangle