Question

Suppose we want to seat 3 men and 3 women in a row of six chairs. In how many ways can we seat these people if all the women must sit together but no woman sits on the end seats?

Answer 1

can someone just check my answer i got 72 ways

Answer 2

you can seat mwwwmm or mmwwwm

Answer 3

and then x6 ways to seat each man and x 6 ways to seat each woman

Answer 4

36 WAYS FOR EACH OF THE two configurations you quoted - so thats 2 * 36 = 72