Question

In how many ways can 3 students and 2 teachers seat themselves in a row if the 2 teachers always separate? and 2 teachers are to be separated by 2 students between them?? :)

Answer 1

Any progress ?

Answer 2

i managed to solve it when the 2 teachers are together, however i find it so difficult when it comes to separated cases because i dont get the concept

Answer 3

put the teachers at positions 1 and 4 OR 2 and 5

Answer 4

hows the working? :)

Answer 5

YxxYx: \(3!\cdot 2!\)
xYxxY: \(3!\cdot 2!\)

just add the two values

Answer 6

thanks!this helps a lot :)

Answer 7

yw