Under the Senate bill passed on Tuesday, women turning 18 on or after Jan. 1, 2018, would be forced to register for Selective Service, as men must do now. Failure to register could result in the loss of various forms of federal aid, including Pell grants, a penalty that men already face. Because the policy would not apply to women who turned 18 before 2018, it would not affect current aid arrangements.

“The fact is,” said Senator John McCain, Republican of Arizona and the chairman of the Armed Services Committee, “every single leader in this country, both men and women, members of the military leadership, believe that it’s fair since we opened up all aspects of the military to women that they would also be registering for Selective Services.”