Pigeonhole principle (HSC SSCE Mathematics Extension 1): Flashcards
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Practise the cards
10 cards from this deck
What does the pigeonhole principle state?
What does the pigeonhole principle state?
If n items are in k containers and n > k, one has more.
Give an example of the pigeonhole principle.
Give an example of the pigeonhole principle.
7 shoes in 6 boxes means at least one box has 2 shoes.
What is the general formulation of the principle?
What is the general formulation of the principle?
If n > k, at least one container holds more than one item.
What is the pigeonhole principle in socks distribution?
What is the pigeonhole principle in socks distribution?
If 10 pairs in 7 drawers, at least one has 2 pairs.
What is a formal proof of the principle?
What is a formal proof of the principle?
If n > k, at least one container must hold multiple items.
What happens with 13 cards and 4 suits?
What happens with 13 cards and 4 suits?
At least one suit must have more than 3 cards.
How does the principle extend to groups?
How does the principle extend to groups?
10 people in 5 groups ensures at least one pair holds hands.
What is a common trap in using the principle?
What is a common trap in using the principle?
Misunderstanding minimum container counts can mislead.
What is the conclusion for 25 apples in 10 baskets?
What is the conclusion for 25 apples in 10 baskets?
At least one basket must have more than 2 apples.
Why is the pigeonhole principle important?
Why is the pigeonhole principle important?
It helps solve distribution problems logically and simply.