5 A group of 9 people go to a restaurant There are two table

5. A group of 9 people go to a restaurant. There are two tables where they can be seated and each table seats 5 people. The group picks five to sit at one table, which leaves four seated at the second table. If the people were picked at random: a. How many different groups of five people can be seated at the first table? b. How many different groups of four people can seated at the second table? c. In how many different orders can the 9 people enter the restaurant? 6. A store has I I employees. The manager has to keep the store open on Saturdays. but with only three employees. The manager has decided to make up Saturday schedules in such a way that no group of three employees will be in the store together more than once. a) How many weeks can be covered by this schedule? b) How many weeks if only two employees are scheduled? c) Compare your results. Which gives you more weeks? Explain why.

Solution

5)

a---9*8*7*6*5=15,120

b) 9*8*7*6=3,024

c) 9*8*7*6*5*4*3*2*1=362,880

6)

11C3= 165

b)

11C2=55