\(\eta _1,\ \eta _2\) and \(\eta _3\) are the efficiencies of the three Carnot engines \(E_1 ,\ E_2 \ \text{and}\ E_3\) operating between temperatures shown in the figure. Choose the correct option relating the efficiencies.
(1) \(\eta _2 + \eta_3 >\eta _1\)
(2) \(\eta _2+ \eta _3 = \eta _1\)
(3) \(\eta _2+ \eta _3 <\eta _1\)
(4) \(\eta _1 + \eta _2 = \eta _3\)
