Question: Some of the players decide to form temporary teams in an arbitrary way. They put royal blue and lime green armbands into a bag, and each player closes her eyes and grabs an armband to see which temporary team she'll be on. How many armbands need to be grabbed in order to ensure that one of the teams has at least two players? How many armbands need to be grabbed in order to assure that one of the teams has at least seven players?