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Alekos is designing a cryptographic system for use within his company. The company has 1,000 employees, and they plan to use an asymmetric encryption system. They would like the system to be set up so that any pair of arbitrary users may communicate privately. How many total keys will they need?

Answer Options

A

500

B

1,000

C

2,000

D

499,500

Correct Answer: C

Explanation

Asymmetric cryptosystems use a pair of keys for each user. In this case, with 1,000 users, the system will require 2,000 keys. 499,500 would be the correct answer for a symmetric system.