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MathsMediumMCQ2023 ยท 06 Apr Shift 2

Q63.All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is (1) 576 (2) 578 (3) 580 (4) 582

What This Question Tests

This problem assesses the ability to determine the rank of a given word in lexicographical order by counting permutations of letters smaller than the current prefix.

Concepts Tested

Lexicographical orderFactorials for counting permutations

Formulas Used

n!

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๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Rank of a word in dictionary order
Year
2023
Shift
06 Apr Shift 2
Q Number
Q63
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations

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