Does Major affect chances of getting in to UCLA, UC Berk, or other good colleges?

<p>I really want to get into UCLA, UC Berkeley, or any other good university. But I'm afraid if my choice of major in engineering will decrease my chances of getting in. If I applied into college of letters and science, i feel like i will have a higher chance of getting in. Is this true? Should I apply with a major in engineering or undeclared, or does it even matter.</p>