PC Gaming build under $600 to run skyrim on high, is this one okay?

So I'm trying to build a PC for college this Christmas that i will probably mostly use for gaming. I was wondering if this was a good build or not. If not, then please make some recommendations, but keep in mind that im trying not to go over 600, maybe ill pay like 620.

Rosewill CHALLENGER Black Gaming ATX Mid Tower Computer Case
http://www.newegg.com/Product/Product.aspx?Item=N82E16811147153

MSI B75MA-E33 LGA 1155 Intel B75 HDMI SATA 6Gb/s USB 3.0 Micro ATX Intel Motherboard with UEFI BIOS
http://www.newegg.com/Product/Product.aspx?Item=N82E16813130654

SAPPHIRE 100355-1GOCL Radeon HD 7850 1GB
http://www.newegg.com/Product/Product.aspx?Item=N82E16814202004

RAIDMAX RX-500AF Continuous 500 watts ATX 12V v2.3/EPS 12V SLI Ready CrossFire Ready 80 PLUS BRONZE Certified
http://www.newegg.com/Product/Product.aspx?Item=N82E16817152040

ASUS 24X DVD Burner
http://www.newegg.com/Product/Product.aspx?Item=N82E16827135204

Western Digital WD Blue WD7500AZEX 750GB 7200 RPM
http://www.newegg.com/Product/Product.aspx?Item=N82E16822236338

CORSAIR XMS 4GB (2 x 2GB) 240-Pin DDR3 SDRAM DDR3 1600 (PC3 12800) Desktop Memory Model CMX4GX3M2B1600C9
http://www.newegg.com/Product/Product.aspx?Item=N82E16820145339

Intel Core i3-3220 Ivy Bridge 3.3GHz
http://www.newegg.com/Product/Product.aspx?Item=N82E16819116775
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