7 A committee of 6 people, which must contain at least 4 men and at least 1 woman, is to be chosen from 10 men and 9 women.
- Find the number of possible committees that can be chosen.
- Find the probability that one particular man, Albert, and one particular woman, Tracey, are both on the committee.
- Find the number of possible committees that include either Albert or Tracey but not both.
- The committee that is chosen consists 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.