Question

How many equivalence classes can be formed on a deck of cards, with respect to the relation "Belongs to the same suit"

• A. 13
• B. 52
• C. 4
• D. 26

Answer 1

The correct option is C

4

There will be 52 cards in one deck of cards and four suits. The cards will be evenly distributed in each of these suits. We know that there will be four suits in a given deck of cards. Each of those suits will be an equivalence class because,

1. All the cards in a suit will be related to every card in that suit
2. There won't be any relation between two different suits
3. The union of all these four suits will give the deck
4. There won't be any common card between any two different suits