Hi Nahush,
Welcome to the forums. Your question also had me stumped for awhile. The answer is you can't have adsense on blogs using wordpress.com, but can with self-hosted wordpress blogs using the software from wordpress.org.
Many hosts provide one-click Wordpress installs. I use and recommend one such host called Dreamhost. If you do a google search you can easily find a discount coupon. There is also a number of threads on this forum that discuss hosting.
Best of luck.
Peter
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