a) In how many ways can 4 different Algebra books and 6 different Calculus books be arranged on a shelf if i. there is no restriction imposed? [2 marks] ii. all the Algebra books are next to each other? [2 marks] iii. all the Algebra books are not next to each ether? [2 marks] b) An expedition to Pulau Aur consists of 6 fellows, 8 lecturers and 15 students. i. In how many ways can a group of 2 fellows, 4 lecturers and 10 students be formed if a particular lecturer and a particular students must be included in a group? [3 marks] ii. Ten participants are required in an activity. In how many ways can the participants be selected if the number of lecturers is at least 7"? [3 marks]