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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