Exact numbers of this are not easy to find. As far as is known today, 2,499 Americans died on the 6 June, along with 1,940 British, Canadians and other Allies. German figures are very hard to find but most researchers estimate around 7,000 German troops died on the 6th.
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the motive of the Normandy invasion was to liberate the french from the nazi Germans who had invaded years before
Because they did know it was going to be an invasion. But they did not know where or when.
Not enough if you actually think this an issue in the sense of history. Or alternately, the answer is "who cares?". Do you think the French do? The Germans? Why should the Americans?
The Germans were put on the defensive
The Germans had all expected the invasion to happen at the Strait of Calais,about 100 miles north. German troop concentrations were much higher and at better readiness there.