Induction?

I feel so stupid for asking this lol. With my 2 year old daughter I was induced with cervidil and then pitocin for being overdue. With my 3 month old son, my water broke at 39 weeks 1 day (with my daughter it didn’t break until I had started pitocin.) I got to the hospital and they gave me a little to start contracting, but nada so they slowly started me on pitocin. Finally about 20 hours after my water broke, he was born. Does it sound like I was induced with him as well?