In a party there are 123 persons present. If each of them shakes hand with all the other persons,in

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07 Oct 2020 Handshakes

In a party there are 123 persons present. If each of them shakes hand with all the other persons,in total how many handshakes will take place?

OPtion

1) 7503
2) 7513
3) 7523
4) 7533
5) 7543
6) 7553
7) 7563
8) 7573
9) 7583
10) None of these

Solution

Out of 123 persons, the first person will shake hand with 122 persons.
The second person will shake hand with 121 persons (because he has already shaken hand with first person).
The third person will shake hand with 120 persons and so on. The second last person shakes hand with only one person. And last will shake hand with none
(because he has already shaken hand with all persons).
In order to find the total number of handshakes you have to add all the natural numbers from 1 to 122 i.e. ∑ 122.
∑122 = 123 x 122/2 = = 7503 handshakes.

Correct Option: 1 Best Solution (2)

Bhargav   4 years AGO

123*122/2=123*61=7503

Like? Yes (1) | No   

SAYAN CHATTERJEE   4 years AGO

no of handshakes= 123C2= 7503.
Option 1.

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