Does major matter for MBB?

Some background: I'll be entering Dartmouth in the fall and I'm curious to see how much major matters for recruitment. I'm interested in being a political science major (technically Dartmouth calls it government), but it seems like almost all recent Dartmouth grads going into MBB were Econ/CS majors. The few who weren't mostly went to elite prep schools for high school, which makes me think that they probably had family connections to help them place in the industry (which I don't have). Any advice? thnx (admittedly I also cross posted this into iBanking just bc I want to compare out of curiosity)