If (1+x)^n =C0+C1 x+ C2 x^2 +....... Cnx...

If `(1+x)^n =C_0+C_1 x+ C_2 x^2 +....... C_nx^n` prove the following :
`C_0C_n+C_1C_(n-1)+C_2C_(n-2)+.....+ C_nC_0= ((2n!))/(n!)^2`.

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