The selection of the three people is an illustration of combination
The number of different ways the three people can be selected is 10
From the question, we have the following parameters:
The number of different selections is then calculated using the following combination formula
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^5C_3 = \frac{5!}{(5 - 3)!3!}[/tex]
Evaluate the difference
[tex]^5C_3 = \frac{5!}{2! * 3!}[/tex]
Evaluate the quotient
[tex]^5C_3 = 10[/tex]
Hence, the number of different ways the three people can be selected is 10
Read more about combination at:
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