TED-ED: How many ways can you arrange a deck of cards? - Yannay Khaikin

TED-ED: How many ways can you arrange a deck of cards? - Yannay Khaikin

Assessment

Interactive Video

Mathematics

KG - University

Practice Problem

Easy

Created by

Wayground Content

Used 2+ times

FREE Resource

The video explores the concept of permutations and factorials using a 52-card deck as an example. It explains how a shuffled deck likely represents a unique arrangement never seen before, due to the vast number of possible permutations. The video introduces permutations with a simple seating example and explains factorials, a mathematical concept used to calculate permutations. It highlights the enormity of 52 factorial, illustrating its magnitude by comparing it to the age of the universe and the number of atoms on Earth.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the approximate number of arrangements for a 52-card deck, and how does this compare to the number of atoms on Earth?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the implications of the fact that a new permutation of 52 cards could be written every second since the Big Bang.

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