6 (12 marks) Answer all the following questions. Give your final numerical answers rounded off to the nearest whole number, unless otherwise stated. a) How many permutations can be formed using all letters of the word "SCORE"? [2 marks] b) How many permutations can be formed using all letters of the word "RANDOM" i. If the first letter is an A and the last letter is an O. [2 marks] ii. the letters O and M are to be together. iii. the letters R and A are to be apart. [2 marks] c) A group of 11 people consists of 6 men and 5 women, 3 of whom are sisters. A committee consisting of 6 people is to be selected. Find the number of ways the committee can be formed i. if there are no restrictions? [2 mark ii. if it must include at least one of the sisters? [2 marks]