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

1 Answer
Oct 19, 2014

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.