how many ways can 8 students be assigned to 2 groups if each group must have at least 3 students?

so 2 possible cases are that
1. one group has 3 members, the other has 5
2. both have 4 members
i got p(8,3) * p(5,3)+p(8,4)*p(4,4)

did i get it right? i have no answer key :(

Question

how many ways can 8 students be assigned to 2 groups if each group must have at least 3 students?

so 2 possible cases are that
1. one group has 3 members, the other has 5
2. both have 4 members
i got p(8,3) * p(5,3)+p(8,4)*p(4,4)

did i get it right? i have no answer key :(

anonymous · Answer

you're not right. answer is p(8,3)*p(5,5)+p(8,4)*p(4,4)

anonymous · Answer

whoops! i meant 5,5 for that one but all right yay!

anonymous · Answer

so you were right but you wrote wrong

anonymous · Answer

i guess? lol