At a conference, 13 members shook hands with each other before and after the meeting. How many total member of hand shakes occurred?
- 121
- 144
- 156
- None of these
Explanation
To find the number of handshakes, we can use the combination formula:
nC2 = n(n-1)/2
where n is the number of members (13).
For before the meeting: 13C2 = 13(12)/2 = 78
For after the meeting: 13C2 = 13(12)/2 = 78
Total handshakes = 78 + 78 = 156
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