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 [tex]\frac{n(n-1)}{2}[/tex]
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 =
[tex]\frac{n(n-1)}{2}[/tex]
[tex]=\frac{10(10-1)}{2}[/tex]
[tex]=\frac{10\times9}{2}[/tex]
[tex]=5\times9[/tex]
[tex]=45[/tex]
Hence, total 45 handshakes were occurred.
