A simple encryption method is being used to encrypt a small number (called the secret number). The method by which this encryption works is as follows: ⦁ Choose a random seed number ⦁ Calculate the key by multiplying the seed with the secret under modulus 7 ⦁ Finally, multiply the key with the secret to get the encrypted secret Example: If our secret number was 45 Randomly choose seed = 6 key = secret x seed (mod 7) = 45 x 6 (mod 7) = 4 Encrypted Secret = key x secret = 45 x 4 = 180 Based on this encryption method, when choosing the random seed, show which number should not be used, because it would result in the Secret and the Encrypted Secret being the same

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Dears I need an answer in Probability/Math  way not codding way :

⦁ A simple encryption method is being used to encrypt a small number (called the secret number). The method by which this encryption works is as follows:
⦁ Choose a random seed number
⦁ Calculate the key by multiplying the seed with the secret under modulus 7
⦁ Finally, multiply the key with the secret to get the encrypted secret

Example:
If our secret number was 45
Randomly choose seed = 6
key = secret x seed (mod 7) = 45 x 6 (mod 7) = 4
Encrypted Secret = key x secret = 45 x 4 = 180

Based on this encryption method, when choosing the random seed, show which number should not be used, because it would result in the Secret and the Encrypted Secret being the same

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