99 Percentile Qs Bank for JEE MainMathematicsPermutation and Combination
Letters of the word 'GOVIND' are permuted and arranged as in a dictionary, then the number of words that appear after the word 'GOVIND' is ____
Options
- A519
- B510
- C506
- D511
Correct answer
C. 506
Step-by-step solution
Word is 'GOVIND' total words possible (=6 !=720 words ) Now we find rank of word GOVIND,- Number of words starting with (D=5 ) ! (=120 ) words Number of words starting with G and second letter D (=24 words ) G and second Letter I ( G ) and second Letter ( N ) Now words with G and next letter ( O ) and IIIrd Letter D Now words with ( G ) and next letter ( O ) and third Letter I. Similarly, Now, we have, and And then So, total words (= ) rank (=120+24 3+6 3+4=214 ) th words So, Number of words after GOVIND (=720-214=