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If the Math Olympiad Club consists of 19 students, how many different teams of 3students can be formed for competitions?

Sagot :

since they are students order is not going to matter and it will be a combination.

[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]

n= total of students

n=19

r= students per group

r=3

[tex]\begin{gathered} 19C3=\frac{19!}{3!16!} \\ 19C3=969 \end{gathered}[/tex]

there can be formed 969 groups

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