Given,
The number of students are 24.
The number of students to be selected is 5.
The number of ways to select 5 students for a group project is,
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Here, n is the number of total students.
r is the number of students get selected.
Substituting the values then,
[tex]\begin{gathered} ^{24}C_5=\frac{24!}{5!(24-5)!} \\ =\frac{24!}{5!\times19!} \\ =\frac{24\times23\times22\times21\times20\times19!}{5\times4\times3\times2\times1\times19!} \\ =\frac{5100480}{120} \\ =42,504 \end{gathered}[/tex]
Hence, the number of ways to select 5 students for a group project is 42504.
