Continuity mistake: At Edoras, Aragorn's sword leans against the wall, significantly lower than the circular carving above it, as Pippin walks toward Gandalf. However, when Merry asks, "What are you mad?" the hilt now reaches near the top of the circular pattern. Then when Gandalf grabs the blanket to cover the palantir, the sword's height is the same as in the first shot. (00:19:45)
Continuity mistake: At the Grey Havens, just as Gandalf stands before his four brave Hobbits and says, "I will not say, 'Do not weep,' for not all tears are an evil," note the design on Pippin's scarf. When Gandalf says, "It is time, Frodo," the pattern on Pippin's scarf is entirely different, though it's the same style scarf. It then reverts back to the previous pattern when Frodo boards the White Ship.
Answer: There are only five wizards. Saruman and Gandalf are heavily involved, as we see. Radagast, while not mentioned in the film, has a particular affinity with the birds and animals - it is he who sends the Eagles to the last battle, and to rescue Gandalf from Isengard. The final two, Alatar and Pallando, known as the Blue Wizards, went into the far eastern regions of Middle-Earth and never returned. Tolkien felt that they would ultimately have fallen from grace, much as Saruman did.
Tailkinker ★