There are 45 handshakes that can be made between 10 people.
According to the given question.
Number of people invited in a party = 10
As we know that
The formula for the number of handshake possible with n people is given by
Number of handshakes = n(n -1)/2
This is because each of the people can shake with n -1 (they would not shake their own hand), and the handshake between two people in not counted twice.
Therefore, the number of hands each person shook
= 10(10 -1)/2
= 10(9)/2
= 45
Hence, there are 45 handshakes that can be made between 10 people.
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