Continuity mistake: The first wand Ollivander gives to Harry has a long slim handle with 5 or so grooves carved at the wand end. When Harry puts the wand down, the grooves are even with the binding of the book lying there. When Ollivander hands Harry the second wand, look to the left by the book and you can see that not only has the wand been moved, it is actually a different wand with a shorter, wider handle and only one groove at the wand end.
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