For the group Sn of all permutations of n distinct symbols, what is the number of elements in Sn?
A)n
B)n-1
C)2n
D)n!

Name: For the group Sn of all permutations of n distinct symbols, what is the number of elements in Sn? A)n B)n-1 C)2n D)n!
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Question

Quizplus · Accepted Answer

The number of elements in the symmetric group $S_n$, which consists of all permutations of $n$ distinct symbols, is $n!$ (n factorial), because the first element can be chosen in $n$ ways, the second in $n-1$ ways, and so on, down to 1.

For the Group Sn of All Permutations of N Distinct