Answer each of the following questions with clear solutions and word explanations where they are appropriate. 1. A committee of 5 shareholders is to be chosen from a larger group of 7 men and 5 women. How many committees can be formed that consist of two men and three women? (3 marks: 2 marks for correct combinations, 1 mark for choosing combining combinations) 2. Solve for n in the equation: 3(0'54)' 55-155) (4 marks: 2 marks for reducing factorial expressions, 1 mark for solving equations involving combinations, 1 mark for expressing your answer correctly) 3. Find the value of 'n' that satises the equation: \"C4 -.. C9 (1 mark for the correct value of n) 4. Explain, with an example, the difference between a permutation and a combination. (2 marks: 1 mark for