did i solve these counting problems correctly? [closed]
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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. a) In how many ways can this be done if both Ed and Gail are in the picture? P(5,2)= 5×4 = 20 b) In how many ways can this be done if neither Ed nor Fran are in the picture? P(5,3)= 5×4×3= 60 c) In how many ways can this be done if Dot is on the left end and Ed is on the right end? P(5,3)= 5×4×3= 60 d) In how many ways can this be done if Hal or Ida (but not both) are in the picture? P(5,4) + P(5,4)= 120+120= 240 e) In how many ways can this be done if Ed and Gail are in the picture, standing next to each other? P(5,4)= 120 Thank you
discrete-mathematics
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