Perhaps Mr. Romney was trying to say that the issue is who pays for contraceptives, not whether women can use them. But all those possibilities are just reminders of how hard it must be for him to remember where he stands at any given moment.

In any case, you cannot untangle access and money. Mr. Romney’s stated zeal to “defund” Planned Parenthood is either a rote ideological posture or a belief that it is right to end the federal support that gives many poor women access to mammograms, cervical cancer screening, family planning and other services. As Mr. Obama said: “That’s a pocketbook issue for women and families all across the country. And it makes a difference in terms of how well and effectively women are able to work.”

Having fumbled that one, Mr. Romney made things worse when he tried to talk about equal opportunity for women, which was made much harder by his opposition to the Lilly Ledbetter Fair Pay Act. He told a strange tale of his early days as governor of Massachusetts when he “had the chance to pull together a cabinet and all the applicants seemed to be men.” He said he went to his staff about it and was told that “these are the people that have the qualifications.”

So far, not so terribly bad.

But then he started a slow, painful slide into one of the most bizarre comments on this issue we’ve ever heard, which became an instant Internet sensation. “We took a concerted effort to go out and find women who had backgrounds that could be qualified to become members of our cabinet,” Mr. Romney said, sounding as if that were a herculean task. An appeal to women’s groups, he said, “brought us whole binders full of women.”

This was important, he said, because “I recognized that if you’re going to have women in the work force that sometimes they need to be more flexible. My chief of staff, for instance, had two kids that were still in school.”