I'll expand on John's comment: You realize that any conventional wiring arrangement with 10 speakers will present an unacceptable load impedance to the amplifier.
You're going to need to either 1) wire them in a very funky series-parallel arrangement (3x3 comes to mind with the remaining set paralleled with one of the banks of three. or 2) Use a 10-output speaker switcher with load matching resistors (this will be expensive, if it exists... and you may have issues with power rating). or 3) Just put a pair of big 4 ohm, 150 watt resistors in series at the + terminals of the amp and don't worry about how/how many speakers you parallel after that. or 4) Employ a 70V distribution system with transformers at the amplifier and at each speaker (this has the side benefit of significantly reducing the wire gauge requirement going to the speakers but is expensive and can seriously degrade sound).
All of these have various pros and cons; only the first one doesn't degrade sound quality. Also the volume of each set of speakers won't be individually adjustable unless you install passive volume controls in each room (also tends to degrade sound quality).
If it's just for background music then perhaps it doesn't matter. But I would recommend at least looking at a "real" home distribution system from Rotel, Niles, Crestron, etc. These have separate amplifiers for each set of speakers which brings many benefits: individually adjustable volume, different music in each room, straightforward wiring, etc.