The number of keys required to fully implement a symmetric algorithm with 10 participants is: 45 (Option C)
Symmetric encryption or Algorithm is a kind of encryption that uses a single key (a secret key) to encrypt and decode electronic data.
The key must be exchanged between the organizations communicating using symmetric encryption so that it may be utilized in the decryption process.
The formula that determines the number of keys necessary for a symmetric algorithm is given as;
(n*(n-1))/2,
which is 45 in this situation, when n = 10.
That is
(10 * (10-1))/2
= 45.
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Full Question:
How many keys are required to fully implement a symmetric algorithm with 10 participants?
A. 10
B. 20
C. 45
D. 100