Well, there's a question I haven't really heard of before. Whatever the case, the total number of fist bumps exchanged is 2,970. (That's a lot of people. That's even more fist bumps. Jeesh.)
Here's how I got that answer : each person exchanges a fist bump with 54 others. So that means each person fist bumps a total of 54 times each. And there are 55 friends in that group, which would mean that you would have to multiply.
54 × 55 = 2,970