A - I'd say this was the answer too. In a travellling wave, every particle experiences varying displacement as the wave travels through (so vibrates), whereas in a stationary wave there are nodes (zero displacement) where some particles do not vibrate.
B - Not true: for a stationary wave, the particles all have different amplitudes.
C - Not true: for a stationary wave, some of the particles vibrate in phase with each other.
D - Not true: for a stationary wave, some of the particle vibrate in anti-phase with each other.
EDIT: Good lord, yes - I was thinking of the fundamental, where they are all in phase, which is not true generally. All changed now. What on earth does the markscheme argue??