You are given 2 matching card decks with Aces, Kings, Queens, Jacks removed. Now each deck has 36 cards.
One deck is shuffled and placed on top of the other deck. Starting from the top card, you count the number of cards between it and the corresponding card of the second deck. Continue the process for all cards of the top deck.
What is the total Sum?
For the second case, you do the same process except you remove top card of top deck and bottom card of bottom deck after each count.
What is the total sum for this second case?
Please provide details of your reasoning.