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: (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 satisfies the equation: (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 example, 1 mark for difference) 5.Why must in the notation ? (1 mark for explanation) 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: (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 satisfies the equation: (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 example, 1 mark for difference) 5.Why must in the notation ? (1 mark for explanation) Answer each of the following questions with clear solutions and word explanations where they are appropriate. 1.How many terms are in the binomial expansion of (x + y2)14? (1 mark for the correct number of terms) 2.a) What is the value of n for the row of Pascal's Triangle that is: 14641? (1 mark for the correct value of n) b) What is the next row after 1 4 6 4 1 in Pascal's Triangle? (1 mark for the correct next row) 3.Find the 6th term in the binomial expansion of (x2 + y3)10. (3 marks: 1 mark for the correct combination, 1 mark for both consistent factors, one mark for evaluating combinations and exponents) 4.Find and completely simplify the 8th term in the binomial expansion of (3 marks: 1 mark for the correct combination, 1 mark for both consistent factors, one mark for evaluating combinations and exponents) 5.What term number contains (2 marks: 1 mark for identifying the exponential pattern on the variable x, 1 mark for identifying the correct term number)