Well both the fields EEE and ECM will give you good knowledge of Electronics but EEE is more hardware oriented in which you will deal with machines whereas ECM is more software oriented. Both the fields are good for Jobs as there is a wide application of both fields in real time.
But still if you ask which is better for job I would say ECM in terms of more opportunities or more exposure into companies because it has 2 core subjects involved i.e Computer management and Electronics which gives you a wide range of Jobs. But EEE will give you jobs only in electrical and electronics sector.
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