Question

At a farewell party of 60 students each student shakes hand with every other student. how many total hadsshakes will be

Answer 1

I think so 120 or 3600 handshakes

Answer 2

The total number of hadsshakes = 1770

Given :

At a farewell party of 60 students each student shakes hand with every other student

To find :

The total number of hadsshakes

Solution :

Step 1 of 2 :

Write down total number of students

Here it is given that at a farewell party of 60 students each student shakes hand with every other student

Step 2 of 2 :

Calculate total number of hadsshakes

We know that between n persons total number of hadsshakes

$\displaystyle \sf{ = \frac{n(n - 1)}{2} }$

Since total number of students = n = 60

Hence total number of hadsshakes

$\displaystyle \sf{ = \frac{60 \times (60 - 1)}{2} }$

$\displaystyle \sf{ = \frac{60 \times 59}{2} }$

$\displaystyle \sf{ = 30 \times 59 }$

$\displaystyle \sf{ = 1770}$

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