Five boys and five girls are seated around a table. How many ways can the seating be arranged to meet each condition? (Not meeting all conditions at once, one condition for one answer) a) Without restriction (literally anywhere they want)

b)If the boys and girls are in alternating order (boy, girl, boy, girl, etc.)

c)If there are 5 couples, all of whom sit together

d) If all the boys sit together and all the girls sit together.

e) If four couples sit together, but Walter and Maude do not