Pigeonhole Principle and Handshake Problem

Pigeonhole Principle and Handshake Problem

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Mia Campbell

FREE Resource

The video tutorial introduces a classical mathematical problem-solving strategy, emphasizing the importance of simplifying complex problems. It explores handshake scenarios with different numbers of people to illustrate the concept. The pigeonhole principle is introduced and explained, followed by its application to the handshake problem, demonstrating how fewer pigeonholes than pigeons lead to certain outcomes.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step suggested in the problem-solving strategy discussed?

Consider a more complex version of the problem.

Consider a much simpler version of the problem.

Ask someone else to solve it.

Ignore the problem and move on.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is two people not a good option for the handshake problem?

Because they can shake hands multiple times.

Because nothing interesting happens.

Because they are too far apart.

Because they don't know each other.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the pigeonhole principle primarily concerned with?

The number of pigeons in a city.

The color of pigeons.

The arrangement of pigeons in holes.

Ensuring at least one pigeonhole contains more than one pigeon.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the handshake problem, what do the pigeons represent?

The time of the handshakes.

The location of the handshakes.

The people involved in the handshakes.

The number of handshakes.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do the pigeonholes represent in the handshake problem?

The number of handshakes.

The number of people.

The number of times.

The number of locations.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum number of handshakes possible for a person in a group of four?

Four

Three

One

Two

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't a person shake hands with themselves in the handshake problem?

Because it doesn't count as a handshake.

Because it's physically impossible.

Because it would break the rules.

Because it's not allowed.

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