Question

Answer the questions below. (a) There are 17 appetizers available at a restaurant. From these, Susan is to choose 13 for her party. How many groups of 13 appetizers are possible? (b) From the 12 albums released by a musician, the recording company wishes to release 10 in a boxed set. How many different boxed sets are possible?

Answer 1

a let, Mumber of appetizers available at a restaurant, ne 17 a' 8. Numbes of appetizers Susan is to choose for party 1.7. 13 :. Total number of possible groups of 13 appetizess are given by; where, n n! G l(n-)! n 2 17 pa G 13 = 2380 171 13! X41 Total no. of possible groups of 13 appetizens are 2380

b) let. Total number of albums released by :O musician. :, n=12 Number of release in a boxed set 7:10 Nalmber of boxed sets different bexed sets possible are given by where reg nd (n-)! 12. C To 176 60 101*2 ! : Total no of different possible boxed sels are 66