Respuesta :

tonb

The formula is n(n-1)/2, for 8 people this is 8*7/2 = 28.

8 persons each have 7 people to shake hands with, but then you have counted each handshake twice (from the perspective of both participants), so you have to divide by 2.

Tundexi

The number of handshake that took place is 28.

In any situation where order of an outcome does not matter, mathematical combination (C) are use calculate the total outcomes of an event.

  • 8 people are to shake each other once. The concept to be use to derive the number of hands that took place is Combination.

  • The formulae of Combination for this Scenario is [tex]n(n-1)/2[/tex].

  • The number of people (n) is 8.

[tex]Total handshake = n(n-1)/2\\Total handshake = 8 * (8-1)/2\\Total handshake = 8 * 7/2\\Total handshake = 56/2\\Total handshake = 28[/tex]

In conclusion, the number of handshake that took place is 28.

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