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For the group Sn of all permutations of n distinct symbols, what is the number of elements in Sn?

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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!

The question was asked by my college director while I was bunking the class.

This key question is from Overview in chapter Cryptography Overview, TCP/IP and Communication Networks of Cryptograph & Network Security

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Correct choice is (d) n!

Easiest explanation: There there are n distinct symbols there will be n! elements.

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