Question

The letters of the word PERMIT are arranged in all possible ways and the words thus formed are arranged in a dictionary. What is the rank of the word PEMRIT?

1) 369 2) 374 3) 375 4) 259 5) 297​

Answer 1

Given :  The letters of the word PERMIT are arranged in all possible ways and the words thus formed are arranged in a dictionary.

To Find : the rank of the word PEMRIT

Solution:

PERMIT

6 letters

E , I  , M  , P  , R  , T

All words  Starting with E , I and  M and  are before PEMRIT

3 * 5!   = 360 words

Then Starting with PEI  are before PEMRIT

Hence 3!  = 6 words

Starting with PEMI  are before PEMRIT

2!  = 2 words

Then comes PEMRIT

Hence Rank of PEMRIT is  360 + 6 + 2 + 1  = 369

rank of the word PEMRIT is 369

Correct option is   1)  369

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