Respuesta :

Answer:

The answer is combinations

Step-by-step explanation:

There are 20 different 3-person committees could be formed from the 6 people

How to determine the combination of people?

The given parameters are:

  • Board members, n = 6
  • People to select, r = 3

The number of combination is calculated using:

Ways = [tex]^nC_r[/tex]

This gives

Ways = [tex]^6C_3[/tex]

Apply the combination formula

Ways = [tex]\frac{6!}{3! * 3!}[/tex]

Evaluate

Ways = 20

Hence, there are 20 different 3-person committees could be formed from the 6 people

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