Number of rearrangements of word DEMAND = = 360
Number of rearrangements of word DEMAND where 2 D’s appear together = 5! = 120
Number of rearrangements of word DEMAND where 2D’s do not appear together = 360 – 120 = 240
Words starting with ‘A’; without two D’s adjacent to each other
Words starting with A: "5!" /"2!" = 60
Words starting with A where 2 D’s are together = 4! = 24
Words starting with ‘A’, without two D’s adjacent to each other = 36
Next we have words starting with D.
Within this, we have words starting with DA: 4! words = 24 words
Then words starting with DE
Within this, words starting with DEA => 3! = 6 words
Then starting with DED – 3! = 6 words
Then starting with DEM
=> First word is DEMADN
=> Second is DEMAND
Rank of DEMAND = 36 + 24 + 6 + 6 + 2 = 74
Correct Answer : 74