9. {22 marks} Use the correct counting technique and determine the following: [Use the next 2 pages to answer the questions} {a} Twenty books are to he placed on a shelf. Determine the number of ways the first ve books can be plawd on the shelf. {b} In how many ways can nine people place themselves in nine seats in a row? {c} Out of IS different stores. how many ways can a salesperson visit ill of the stores once each? {d} Three identical red blocks. a black block. and two identical blue blocks are to be placed in a row. to how many ways can this he done? to} A team consisting of 3 members is to be chosen from a group of I2 people. How many different teams are possible it' there must he a chairperson. a secretary. and a treasurer? if) The letters of the word STATISTICS are to be arranged among titem- selves. In how many different ways can this be done? {3) A class has 12 students. In how many different ways can the students he put into lab groups consisting of 3 students in each group? {h} How many distinct permutations of the letters of the word UPTAWA begin and end with the letter T? {i} In how many permutations of the digits 12345115789 are the numbers 1 and 2 beside each other? (1) A school has 430 girls and 520 boys. How many committees of5 Etern- berscanbefonncdiftheremtestbeatlcastlboyoneachcommittee? {it} How many groups consisting of at least 2 people can be chosen from a group of 10 people