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BaLLatris [955]
3 years ago
8

In a un ceremony, 25 diplomats were introduced to each other. suppose that the diplomats shook hands with each other exactly onc

e. how many handshakes took place?
Mathematics
1 answer:
saw5 [17]3 years ago
7 0
The question is asking 'how many different ways can we pair two diplomats to shake hand'?

The combination formula is given by: \frac{n!}{(n-r)!r!}

We have n = 25 and r = 2

Substituting into the formula we have

\frac{25!}{(25-2)!2!} =300 handshakes
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