If you divide a pie among six people in a manner that is fair, each person will receive a piece of pie that is of equal size. People sometimes argue this point in the workplace — everyone should receive the same accolades or punishment for the same behavior.
An easy example for the law enforcement workplace that highlights my point involves two officers missing a subpoena for court. If we're being fair, both officers should receive the same consequence, a written notice in their record. However, if we're being equitable, we must take into consideration the total person.
If I have two officers who missed court and one has missed court several times in the past, giving both officers a written notice would not be fair. It would be equitable to give the first timer a written notice and the second officer with a pattern, a more severe consequence.
When supervising male and female officers, provide opportunities to all that will develop skill sets and ensure that both genders are able to compete for different jobs and be ready for promotion. Ensure you are fair about developing all of your people and equitable with opportunities.
If you manage men and women with equity, you maximize skill sets, develop all, provide opportunity for everyone to excel, and you create one heck of a high-functioning team.