The initial number of elements in a certain set is p, where \(p > 0\). If the number of elements in the set doubles every hour, which of the following represents the total number of elements in the set after exactly 24 hours?
(A)24p (B)48p (C)\(2p^{24}\) (D)\((2p)^{24}\) (E)\((2^{24})p\)
E