Respuesta :

Answer: 26! or [tex]\approx 4.03\times10^{26}[/tex]

Step-by-step explanation:

  • The Caesar Cipher is an encoding method that shifts alphabets.
  • The random substitution is an encoding method that move each letter of the alphabet randomly to different .

Given : The Caesar Cipher has 25 different shifts to try.

Since the total a letters in the English Alphabet = 26

Then, the number of possibilities in a random substitution cipher = [tex]26![/tex]

[tex]=26\times25\times24\times23\times...\times3\times2\times1\\\\=4.03\times10^{26}[/tex]

Hence, there are 26! ( or [tex]\approx 4.03\times10^{26}[/tex]) possibilities  to try in a random substitution cipher .