just had a quick glance, but it seems to me that this must be a question regarding relative stereochemistry rather than absolute.
This is because the stereochemistry at the carbon alpha to the the carbonyl is not affected during the reaction but the its stereochemistry is defined in the product.
Thus, the reactions proceed to either syn or anti products
So, while you can draw 4 different newton projections, 2 of them lead to syn products and 2 lead to anti products.
like i say, i've just had a glance and may be wrong here, but i think it's just a slightly misleading question.