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total number of keys saved for a set of 10 individuals to be able to communicate with each other using public key compared to of secret key crypto systems are

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no of keys possible in assymmetric(public key) key cryptography is n(n-1)/2= 10(9)/2=45
no of keys possible in symmetric key(private key ) cryptography is 2n =20
so keys saved are 45-20=25

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In public key cryptography, every individual has 2 keys(public and private). So, here 20 keys.

In secret key cryptography, for every possible pair one key is required. Possible pairs are 10C2=45

So, 25 keys are saved.

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