I want to ask a combinatorics question...
If the question is a simple one, i.e., If I have 2 T-shirts and 2 pants for my 2 kids (assume they are the same size), where pant is worn after the T-shirt, then there are how many ways to put on the T-shirts and pants for my kids?
It still can be done by listing method, i.e., let s1 be the shirt worn by kid 1, s2 be the shirt worn by kid 2, p1 be the pant worn by kid 1, and p2 be the pant worn by kid 2.
- s1, p1, s2, p2
- s2, p2, s1, p1
- s1, s2, p1, p2
- s1, s2, p2, p1
- s2, s1, p1, p2
- s2, s1, p2, p1
However, if the question becomes complicated. For instance, If I have 5 T-shirts and 5 pants for my 5 kids (assume they are the same size), where pant is worn after the T-shirt, then there are how many ways to put on the T-shirts and pants for my kids?