If \({\left( {2\, + \,\sqrt 3 } \right)^{49\,}} + \,{\left( {\sqrt 3 \, - \,2} \right)^{49}}\, = \,a\, + \,b\sqrt 3 \), then 

1
a ≠ 0, b ≠ 0 
2
b ≠ 0, a = 0
3
b = 0, a ≠ 0
4
a = b

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