Which one of the choices given is the next permutation after P = (1, 4, 5, 3, 2)?

(1, 4, 2, 3, 5)

(1, 4, 3, 2, 5)

(1, 5, 2, 3, 4)

(1, 2, 3, 4, 5)

Which one of the choices given is the next permutation after P = (2, 5, 4, 6, 3, 1)?

(2, 5, 3, 4, 1, 6)

(3, 6, 4, 2, 5, 1)

(3, 1, 2, 4, 5, 6)

(2, 5, 6, 1, 3, 4)

none of the above