Query about question "In a room with $25$ people, $7$ of them have red hair...." [10149]

https://www.gregmat.com/problems/quant?problem=in-a-room-with-25-people-7-of-them-have-red-hair


write your question here… I was just wondering what the proper way of figuring this question out was. I was trying to think of some equation but couldn’t reason it. Thank you!

Think about combinatorics and the possible cases to consider.