1. If five different errands are allocated to five time slots, 12-1pm. 1-2pm 2-3pm 3-4pm and 4-5pm, how many distinct schedules are possible? 2. Eleven people are seated around a table. How many distinct seating arrangements are possible? 3. One five-member committee consisting of individuals A,B,C,D and Eis seated in a straight row. a. How many distinct seating arrangements are possible? b. If Einsists on being first, how many distinct seating arrangements are possible? c. If B insists on being last, how many distinct seating arrangements are possible? d. If Ainsists on being 3'rd, how many distinct seating arrangements are possible? e. If C and D must be second and third respectively, how many distinct seating arrangements are possible? f. If Eis first or last, how many distinct seating arrangements are possible? 4. How many distinct 3-digit numbers can be formed using the digits (3.4.5.6.7.8)? 5. How many different 5-member committees consisting of president, vice president, treasurer, speaker and secretary, can be chosen from 100 senators? 6. How many different ways can first second and third place winners occur in a race with six runners and no ties? 7. How many different orders can a disk-jockey program 8 different songs chosen from a set of 20? 8. How many distinct arrangements of the letters of the word DIAMOND are there? 9. How many distinct arrangements of the letters of the word COMMITTEE are there? 7531 are there