7. A committee of 6 people, which must contain at least 4 men and at least 1 women, is to be chosen from 10 men and 9 women.
i) Find the number of possible committee that can be chosen. [3]
ii) Find the probability that one particular man, Albert and one particular woman, Tracey are both on the committee.[2]
iii) Find the number of possible committees that include either Albert or Tracey but not both. [3]
iv) The committee that is chosen of 4 men and 2 women. They queue up randomly in a line for refreshments. Find the probability that the women are not next to each other in the queue. [3]