A small private club has only 100 members. Answer the following questions:
a) How many secret keys are needed if all members of the club need to send
messages to each other?
b) How many secret keys are needed if everyone trusts the president of the club? If a
member needs to send a message to another member, she first sends it to the
president; the president then sends it to the other member.
c) How many secret keys are needed if the president decides that the two members
who need to communicate should contact him first the president then creates a
temporary key to be used between the two. The temporary key is encrypted and
sent to both members.
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