Strange Question: How To Prove To 52 Strangers That 52 Playing Cards Are From The Same Deck If They Can't See

Question

If I mailed 52 playing cards to 52 different people, how could I prove to them that the card they hold is unique/the only one, and that it is one of 52, the other 51 of which they will feel confidant are out there somewhere. Does that make any sense?

Put another way, if I legitimately gave all 52 playing cards in one single deck to 52 different people, each person in a room where they can't see the others, how could I prove to them beyond a shadow of a doubt that their card was one-of-a-kind?

I am trying to organize this game with my friends, but we keep finding loopholes where players could accuse the card handler of giving multiple people the same card, hence the question for this game to work - how do you prove it?

Answer 1

anonomously post which card you have somewhere everyone can c it then once all 52 cards are up then people will believe they have a genuine one if there is a duplicate then they will know also the game is fixed or whatever