Question

50 peoples handshake together. How many handshakes are there?

Answer 1

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Answer:

So, For 50 people we need to multiply:

$49\times 25$

There will be:

$1225$

Handshakes.

Answer 2

formula for number of handshakes in a group of n people

$= \frac{n(n - 1)}{2} \\ here \: n = 50 \\ = \frac{50 \times 49}{2} \\ = \frac{2450}{2} \\ = 1225$

therefore if 50 people handshake together then 1225 handshakes are possible