The decision has been condemned by Argentina, which described it as a "provocative act".
During the programme, which is broadcast today,
Prince Andrew also spoke of coming under attack from a missile while aboard HMS Invincible.
"There are moments of hilarity that I remember," he said. "We were under missile attack one day and a friend of mine and I were trying to finish a Rubik’s cube and just as the missile attack was taking place, we completed it and we were told to lie on the floor, take cover on the deck with this completed Rubik’s cube between us.
"I always thought, imagine what people would have thought if something ghastly happened and two bodies were found with a Rubik’s cube between them. It brought home to me how fragile we are as human beings."