Answer:
792 ways
Explanation:
The number of students in the class = 12
If 5 of them are to go on the field trip, since the order doesn’t matter. the number of ways that these children could be chosen can be calculated using combination.
[tex]^{12}C_5[/tex]Recall:
[tex]^nC_r=\frac{n!}{(n-r)!r!}[/tex]Therefore:
[tex]\begin{gathered} ^{12}C_5=\frac{12!}{(12-5)!5!} \\ =\frac{12\times11\times10\times9\times8\times7!}{7!\times5!} \\ =\frac{12\times11\times10\times9\times8}{5!} \\ =\frac{12\times11\times10\times9\times8}{5\times4\times3\times2\times1} \\ =\frac{95040}{120} \\ =792 \end{gathered}[/tex]The students can be chosen in 792 ways.
