(Solved): 4) a) 10 samples of different pastries are on display as customers leave a bakery, they are told t ...

4) a) 10 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 4 samples. How many different selections can a customer make? (3 marks) b) The following day 5 drink samples are added and customers are told that they can take 4 pastries samples and 2 drink samples. How many different selections can the customer now make? (3 marks) 5) In an AP the \( 9^{\text {th }} \) Term is 2 times the \( 4^{\text {th }} \) Term and the \( 12^{\text {th }} \) Term is 78 . What is the sum of the first twenty terms? (4 marks) 6) In a GP the \( 8^{\text {th }} \) term is 384 and the \( 5^{\text {th }} \) term is 48 . Find the sum of the first 10 terms. (4 marks) 7) Universal Set \( \{0,1,2,3,4,5,6,7,8,9,10\} \), Set \( \mathbf{A}-\{0,2,5,7,9\} \) and Set \( \mathbf{B}-\{1,3,5,7 \), \( 10\} \) Answer the following questions. a) \( \mathrm{B}-\mathrm{A}= \) b) \( \mathrm{AUB}^{r}= \) c) \( \mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}= \) d) \( \mathrm{A}^{\prime} \mathrm{UB}^{\prime}= \) (8 marks) 8) J+ D Advertising has 750 employee. There are two large banks in the area Bank of Tobas and First Pick Bank. If 412 employees bank with the Bank of Tabas and526 bahk with the First Pick Bank. How many employees bank with both banks, if 20 employees do not have bank accounts? (2 marks)