Question

At the end of certain meeting, everyone had shaken hands with every one else, it was found that 45 handshakes were exchanged. How many members were present at the meeting?

Answer 1

Answer:

10 members.

Step-by-step explanation:

According to the question there where 45 handshakes in the meeting.

For hand shaking we need at least two person.

Let us assume that their were x number of people in the meeting.

Therefore, xC2=45

x!/(x-2)!2! = 45

x(x-1)/2 = 45

x(x-1) = 90

or, x(x-1) = 10(10-1)

or, x = 10.

Therefore, 10 members were present in the meeting.