What would be the serial number of the word MOTHER in a dictionary consisting of words formed by letters in MOTHER arranged in an alphabetical order?(a) 307(b) 308(c) 309(d) 312
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Here's your answer...
Lets first arrange all the letters in MOTHER in alphabetical order.
E, H, M, O, R, T
Starting from E...
E _ _ _ _ _ = 5!
H _ _ _ _ _ = 5!
M E _ _ _ _ = 4!
M H _ _ _ _ = 4!
M O E _ _ _ = 3!
M O H _ _ _ = 3!
M O R _ _ _ = 3!
M O T E _ _ = 2!
M O T H E R = 1
Serial number of MOTHER = 5! + 5! + 4! + 4! + 3! + 3! + 3! + 2! + 1
= 120+120+24+24+6+6+6+2+1
= 309
The rank of MOTHER is (c) 309
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Here's your answer...
Lets first arrange all the letters in MOTHER in alphabetical order.
E, H, M, O, R, T
Starting from E...
E _ _ _ _ _ = 5!
H _ _ _ _ _ = 5!
M E _ _ _ _ = 4!
M H _ _ _ _ = 4!
M O E _ _ _ = 3!
M O H _ _ _ = 3!
M O R _ _ _ = 3!
M O T E _ _ = 2!
M O T H E R = 1
Serial number of MOTHER = 5! + 5! + 4! + 4! + 3! + 3! + 3! + 2! + 1
= 120+120+24+24+6+6+6+2+1
= 309
The rank of MOTHER is (c) 309
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