What is the link between binomial expansions and Pascal's Triangle?

Question

1986 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-10-19T14:46:40

Pascal's triangle gives the binomial coefficients.

Pascal's Triangle

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
...

Binomial Coefficients

$((0),(0))$

$((1),(0))$ $((1),(1))$

$((2),(0))$ $((2),(1))$ $((2),(2))$

$((3),(0))$ $((3),(1))$ $((3),(2))$ $((3),(3))$

$((4),(0))$ $((4),(1))$ $((4),(2))$ $((4),(3))$ $((4),(4))$
...

I hope that this was helpful.