Exercise · ZW-ORDER-OF-A-GROUP-002 · ★☆☆ Basic
What is the order of the symmetric group \(S_4\), made of the permutations of four objects?
Choose one option.
Show answer
- A. 24
Explanation
A permutation of four objects is built by choosing an image for each one without repeats: \(4\cdot3\cdot2\cdot1=4!=24\).
Review the concept: Order of a group
The order of a finite group \(G\) is its number of elements; if \(G\) is infinite it has infinite order.
\[|G|\]
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