Direction: Analyze and solve the following problems:
1 There are nine keys on a standard key ring with no clasp: How many different arrangements are there? 2. 4 boys and 4 girls are seated alternately at a round table. If a girl must be seated first; how many ways can you seat the boys and girls? 3. How many ways can 5 different keys be arranged on a key ring? 4-5. In a playground, 3 sisters and 8 ther girls are playing together: In a particular game, how many ways can all the girls be seated in a circular order so that the three sisters are not seated together?