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It is shown that if n and k are positive integers and CQacnk) is the Banach space of continuous functions on the compact set 1(cowk)={cax is an ordinal, 0c_cwnk} then C(wvnk) E P'if and only if y _ 2n +1. This establishes the value of the projection constant for all C(S) spaces possessing the separable projection property.

Projection constants for $C(S)$ spaces with the separable projection property