Answer:
45 handshakes
Step-by-step explanation:
If there are n persons and each person shakes every other person hand once then the total number of handshakes are 
Now, it has been given that 10 people meet, and each person shakes every other person's hand once.
Therefore, n = 10.
Hence, from the above mentioned formula, we have
Total number of handshakes =





Hence, total 45 handshakes were occurred.