Six actors ---- Bob, Carol, Dave Ed, Frank, and Grace audition for a part in an off-Broadway play. The auditions will take place over four consecutive days, starting on a Thursday. Each actor will have one audition; the days on which the different actors will audition must conform to the following conditions.

i . At least one audition will take place each day.

ii. No more than two auditions will take place on any day.

iii. No more than three auditions will take place on any two consecutive days.

iv. Bob’s audition must take place on Saturday.

v . Carol’s audition must take place on the same day as another audition.

vi. Frank’s auditions must take place on the day before Grace’s audition.

vii. Dave’s audition must take place on a day after Ed’s audition.