Question 3 A committee of 7 persons needs to be formed to attend to an urgent project. These 7 persons must be selected from a pool of experts consisting of 10 engineers and 5 designers. In how many,l ways can this committee be formed, if a) There are no restrictions (2 marks) b) There must be 5 engineers and 2 designers (2 marks) c) There must be at least 5 engineers (3 marks) d) There must be more designers than engineers (3 marks) Question 4 Mr Raja's family comprising of two adult, two boys and two girls wants to take a family photo. Mr and Mrs Raja are seated. Find the number of different arrangement if: a) The four siblings stand behind the row (3 marks) b) The girls want to stand side by side (3 marks) c) The boys do not want to stand side by side (4 marks)