Regarding Yaz and Yasmin...?

I am going to start taking the oral contraceptive, "Yaz" when my next period starts. My gynecologist gave me the starter pack today along with a prescription for further refills - but that "refill" prescription specifically says "Yasmin." Is this a problem..? I mean, suddenly switching after that first month's usage of "Yaz?" I know they're basically the same, but isn't there a difference in the amount of active and inactive pills? Would that effect anything? Should I worry or ask about it? Anyone have this happen to them as well? Is it normal?