This question already has an answer here:
I have a question about the basic counting problem.
Situation : There are 50 people and 10 chairs in the room. Among them, 5 chairs are already assigned the special 5 people of the 50 people. In this situation, how many ways can the 10 chairs be distributed? (each chair is not distinguishable)
My answer : I thought that 45 x 44 x 43 x 42 x 41, since 5 chairs are already assigned. So, except for 5 people who have their chairs, among 45 people, we can distribute the left 5 chairs to them.
Is this correct?
Any comments would be helpful to me. Thanks.