From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and…

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is:
  1. At least 750 but less than 1000
  2. At least 1000
  3. Less than 500
  4. At least 500 but less than 750

Solution

N1, N2, D, N3, N4

N→ Novels

D→ Dictionary

D can be chosen in 3 ways

N1→6

N2→5

N3→4

N4→3

Total ways =3×6×5×4×3=1080

Asked in: JEE Main 2018 (08 Apr)

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