After kicking, one coach likes to play practice games with 6 players on each
team. She doesn’t like any team to have more or fewer than 6 players and
she doesn’t like anyone to be left off a team. What are the possible numbers
of players who must show up to practice so that the coach can make these
teams
The coach wants to have 6 players on each team. This means that the number of players who must show up to practice should be divisible by 6. Additionally, the coach wants to avoid having more or fewer than 6 players on a team, so the number of players must be a multiple of 6.
If we let "n" represent the number of players who must show up to practice, then the possible values for "n" can be found by taking multiples of 6: 6, 12, 18, 24, 30, 36, ...
Therefore, the possible numbers of players who must show up to practice are any positive multiple of 6.