Question

10 people meet, and each person shakes every other person's hand once. How many handshakes occurred?

Answer 1

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 $\frac{n(n-1)}{2}$

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 =

$\frac{n(n-1)}{2}$

$=\frac{10(10-1)}{2}$

$=\frac{10\times9}{2}$

$=5\times9$

$=45$

Hence, total 45 handshakes were occurred.

Answer 2

45 handshakes would take place! i've attached how i figured this out (pardon the scribbles)