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 both Ed and Gail are in the picture?
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That leaves us with 3 more spots to fill in the picture. There are 7 remaining people (Ann, Ben, Cal, Dot, Fran, Hal, and Ida) who can fill these 3 spots. The number of ways to choose 3 people out of 7 is given by the combination formula C(n, k) = n! / Show more…
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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?
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