Permutations & Combinations
Dictionary Order — Serial Number of Word
nta_pyq_2023_apr
Grade 11

Question:

All letters of PUBLIC written in all possible orders (dictionary). Serial number of PUBLIC is
576
578
580
582

Step-by-Step Solution

Key Concept: Alphabetical order: B,C,I,L,P,U. Words starting with B,C,I,L: $4\times4!=96$ each, total $4\times5!=480$. Then count P-words before PUBLIC.
Serial number $=582$.
Correct Answer: 4

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