Create two different real-world scenarios—one in which you would use permutations and one in which you would use combinations: include specific details.

Permutation: there are 20 students in a class, and 6 of them failed the math exam. they are now in the detention class. the math teacher is very angry with them. she locks the door, shuts the windows, and wants to kill them one by one. the total number of orders to do so is 6! =720.combination: on the next day, the rest of the class, that is, the students who passed the math exam, finds out the death of their classmates. they plan to revenge on the teacher. they select 3 of them to be the leaders of this plan. the number of possible ways to form the group of leaders is 14c3= 364.