problem 1) In problems 1-7 nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in the row for a picture.
1) In how many ways could this be done if Ben is to be in the picture?
2) In how many ways could this be done if both Ed and Gail are in the picture?
3) In how many ways could this be done if neither Ed nor Fran are in the picture?
4) In how many ways could this be done if Dot is on the left end and Ed is on the right end?
5) In how many ways could this be done if Hal or Ida (but not both) are in the picture?
6) In how many ways could this be done if Ed and Gail are in the picture, standing next to each other?
7) In how many way could this be done if Ann and Ben are in the picture, but not standing next to each other?