Question:
The letters of the word ``UDAYPUR'' are written in all possible ways with or without meaning and these words are arranged as in a dictionary. The rank of the word ``UDAYPUR'' is
The letters of the word ``UDAYPUR'' are written in all possible ways with or without meaning and these words are arranged as in a dictionary. The rank of the word ``UDAYPUR'' is
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In dictionary ranking problems, always add 1 at the end to include the given word itself.
Updated On: Mar 30, 2026
- 1578
- 1579
- 1580
- 1581
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Arrange letters alphabetically.
Alphabetical order: \[ A, D, P, R, U, Y \] Step 2: Count permutations before each letter.
Compute permutations starting with letters smaller than the current letter at each position.
Step 3: Sum all preceding permutations.
Total number of words before ``UDAYPUR'' is \[ 1579 \] Step 4: Add 1 for the word itself.
\[ \text{Rank}=1579+1=1580 \]
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