The term 'counting-out start' is a game that is often used to decide who goes first in a game or activity. The two crossword solutions for this term are 'EENY' (4 letters) and 'WASHINGTONPOTATO' (16 letters). Eeny is a rhyme that is used to count out a person, while Washingtonpotato is a variation of the game where the players use their hands to form a potato shape and count out the players one by one.