Answer:
Hire an external consultant to pick new team members for you
Step-by-step explanation:
On the given scenario there are limited project spaces and plenty of volunteers for those positions.
An equitable and impartial method of choosing team members needs to be used to avoid conflict.
The best solution is to hire an external consultant who can be seen as impartial to do the selection.
This way employees will accept the objectivity of the selection since the external consultant does not have any underlying.interest in who occupies the project positions