In how many ways can a family of six people be seated at a round table if the youngest kid must sit between the parents?
rotation are usually considered the same in question like this.
Seat the child anywhere to start the sequence 1
Dad can be seated on either side. 1*2
Mum sits on the other side 1*2*1
3 more people to sit. They are A,B and C
A can side in 3 places, 2 seats left from B and only one place left for C
So I have
1*2*1*3*2*1 = 12 ways