A math Olympiad club consist of 16 students
The number of different teams of 5 students that can be formed for competitions is a combinations of 5 different students
The formula for combination is
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex][tex]^{16}C_5[/tex]The number of teams will be
[tex]^{16}C_5=\frac{16!}{5!(16-5)!}=\frac{16!}{5!\times11!}=4368[/tex]Hence, the number of teams of 5 that can be formed if 4368