Pigeonhole principle (HSC SSCE Mathematics Extension 1): Quizzes

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Pigeonhole Principle
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What does the pigeonhole principle state?

n items in k containers, n > k

If 7 shoes are placed in 6 boxes, what happens?

One box has more than one shoe

What is a common example of the principle?

Picking socks of the same color

What happens when n > k in distribution?

Some items must overlap

In distributing 10 pairs of socks in 7 drawers, what is true?

One drawer has more than one pair

What is a logical trap in distribution problems?

Assuming equal distribution

What does the pigeonhole principle help solve?

Distribution problems

If 25 apples are placed in 10 baskets, what is true?

At least one basket has more than 2

What is a key feature of the pigeonhole principle?

It applies to simple distributions

What is a conclusion from the pigeonhole principle?

Some items must be duplicated

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