Q-4: [2+6×3 marks] In the questions below nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in a row for a picture. In how many ways can this be done if
a) Ben is to be in the picture?
b) Both Ed and Gail are in the picture?
c) Neither Ed nor Fran are in the picture?
d) Dot is on the left end and Ed is on the right end?
e) Hal or Ida (but not both) are in the picture?
f) Ed and Gail are in the picture, standing next to each other?
g) Ann and Ben are in the picture, but not standing next to each other?