To know how many possibilities can a teacher assign 4 different task to her student, we must use the permutation formula;
[tex]P(n.r) = \frac{n!}{(n-r)!} [/tex]
[tex]P(4,4) = \frac{4!}{(4-4)!} [/tex]
[tex]= \frac{4!}{0!} [/tex]
[tex]= \frac{4(3)(2)(1)}{1} [/tex]
[tex]=24[/tex]
Therefore, there are 24 ways to assign 4 different task to 4 students.
To know more about permutation;https://brainly.ph/question/504738