Sports betting - round robins

[mulebennett]

This is a fairly elementary question, but I'm not a good math person and thought you guys would definitely be the people to turn to.

There's six teams I want to bet on (teasing, specifically) this weekend. I want to round-robin them so that every possible two-, three-, four-, five- and six-team bet is included.

Would that be 15 twos; 20 threes; 15 fours; 6 fives; 1 six for a total of 57 wagers?

If so, what happens when one of those teams loses? How many of those games are affected? Obviously four of the fives would be gone, the six would be gone, but how many of the twos and threes and fours do I lose?