rank of the word mother
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answer is 309
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(i) Arrange all the alphabets of word MOTHER in alphabetical order like [E, H, M, O, R, T]
Now, strike off the first letter M from [E, H, M, O, R, T]
Then count the no. of letter be fore M, and it is equal to 2, which 5!
Now, net word O,
Then, count the no. of letter before O and it is equal to 2, which is coefficient of 4!
Next letter T → 3!
Next letter H → 2!
and nett letter E → 1!
So, Rank of the word is
=2(5!)+2(4!)+3(3!)+1(2!)+0(1!)+1
=240+28+18+2+1
=309
word MOTHER is 309.
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