Suppose that everyone in a group of N people wants to communicate secretly with the N-1 others using public key cryptographic system. The communication between any two persons should not be decodable by the others in the group. The number of keys required in the system as a whole to satisfy the confidentiality requirement is

1
2N
2
N(N - 1)
3
N(N - 1)/2
4
(N - 1)2
5
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