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Suppose 15 people want to communicate with each of 14 other people using symmetric key encryption. All communication between any two people, i and j,

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Suppose 15 people want to communicate with each of 14 other people using symmetric key encryption. All communication between any two people, i and j, is visible to all other k to people in this group of 15, and no other person in this group should be able to decode their communication. How many keys are required in the system as a whole

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