Respuesta :

merlynthewhizz
The question is asking 'how many different ways can we pair two diplomats to shake hand'?

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

We have n = 25 and r = 2

Substituting into the formula we have

[tex] \frac{25!}{(25-2)!2!} =300[/tex] handshakes

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