Question:
All the words that can be formed using alphabets $A, H, L, U$ and $R$ are written as in a dictionary (no alphabet is repeated). Rank of the word RAHUL is
All the words that can be formed using alphabets $A, H, L, U$ and $R$ are written as in a dictionary (no alphabet is repeated). Rank of the word RAHUL is
Updated On: Mar 18, 2024
- 71
- 72
- 73
- 74
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The Correct Option is D
Solution and Explanation
No. of words starting with $A$ are $4 !=24$
No. of words starting with $H$ are $4 !=24$
No. of words starting with $L$ are $4 !=24$
These account for $72$ words
Next word is RAHLU and the $74^{th}$ word RAHUL.
No. of words starting with $H$ are $4 !=24$
No. of words starting with $L$ are $4 !=24$
These account for $72$ words
Next word is RAHLU and the $74^{th}$ word RAHUL.
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Concepts Used:
Permutations
A permutation is an arrangement of multiple objects in a particular order taken a few or all at a time. The formula for permutation is as follows:
\(^nP_r = \frac{n!}{(n-r)!}\)
nPr = permutation
n = total number of objects
r = number of objects selected
Types of Permutation
- Permutation of n different things where repeating is not allowed
- Permutation of n different things where repeating is allowed
- Permutation of similar kinds or duplicate objects