After a gymnastics meet, each gymnast shook hands once with every gymnast on every team (except herself). Afterwards, a coach came down and only shook hands with each gymnast from her own team. There were a total of 281 handshakes. What is the fewest number of handshakes the coach could have participated in?
I would need to know the numer of teams there were and also were there the same amount of gymnasts on each team?
PS I do gymnastics so this is a good question that is Sam Mikulak on my picture as well.