"While sophisticated roadside bombs have taken a heavy toll on American troops over the course of the war here, suicide bombings have largely been a hallmark of sectarian warfare. Independent researchers have now tried to quantify their damage, poring through data compiled from death reports to conclude that more than 12,000 Iraqis have been killed in at least 1,000 suicide attacks since the American-led invasion.
...According to the paper, from March 20, 2003, to the end of 2010, suicide bombers killed 12,284 Iraqi civilians and wounded 30,644 others. The attacks killed 200 coalition troops, including 175 from the United States."
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According to this Wikipedia article, there were 1,759 suicide bombings in Iraq between 2003 and 2010.