Answer to Question #152344 in Discrete Mathematics for meherun

Question

How many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of a particular suit are chosen

Answer 1

In a deck of 52 cards, there are 4 suits. In order to guarantee 3 cards of one suit, it is necessary to have 2 cards of each suit, i.e. only 8 cards, and no matter which suit will come, the 9th card will be taken because there will be the third card of one suit.