Question

How many different four-letter arrangements are possible with the letters G, A, R, D, E, N if each letter may be used only once?

Answer 1

Since all letters are unique, we want to choose 4 letters from a list, and that order matters (ARDE is different from EARD), use permutations.

By permutations, there are P(6, 4) = 6!/2! = 6 * 5 * 4 * 3 = 360 possible four-letter arrangements.