How many cards should be selected from a deck of 52 cards to guaranteea) at least three cards of same suit.b) at least four cards of same suit.

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Suresh Chand · Accepted Answer

To guarantee at least three cards of the same suit, we can use the Pigeonhole Principle, which states that if there are n items to be placed into m containers, and n > m, then at least one container must contain more than one item. In this case, we can treat the four suits (hearts, diamonds, clubs, and spades) as containers, and the cards as items. To guarantee that we have at least three cards of the same suit, we need to make sure that we have at least three items (cards) in each of the four containers (suits). So, we can select 3 cards from each suit, which gives us a total of 12 cards. This guarantees that we have at least three cards of the same suit. To guarantee at least four cards of the same suit, we can similarly use the Pigeonhole Principle, and treat the four suits as containers. In this case, we need to make sure that we have at least four items (cards) in one of the containers (suits). So, we can select 3 cards from each of three suits, which gives us a total of 9 cards. We still need to select one more card to guarantee that we have at least four cards of the same suit. This means we need to select at least 10 cards in total to guarantee at least four cards of the same suit.

How many cards should be selected from a deck of 52 cards to guarantee

at least three cards of same suit.

at least four cards of same suit.

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How many cards should be selected from a deck of 52 cards to guarantee at least three cards of same suit. at least four cards of same suit.

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How many cards should be selected from a deck of 52 cards to guarantee

at least three cards of same suit.

at least four cards of same suit.