Answer
See the answer below.
Work Step by Step
Pascal's triangle determines that coefficient which arises in binomial expansions.
For example: Let us consider the following expansions.
$(x+y)^{2}=x^{2}+2xy+y^{2}=1x^{2}y^{0}+2x^{1}y^{1}+1x^{0}y^{2}$
$(x+y)^{3}=x^{3}+3x^{2}y+3xy^{2}+y^{3}=1x^{3}y^{0}+3x^{2}y^{1}+3x^{1}y^{2}+1x^{0}y^{3}$
$(x+y)^{n}=a_{0}x^{n}+a_{1}x^{n-1}y^{1}+.........+a_{n}y^{n}$
