UPSC CSE Prelims
Permutations and Combinations Previous Year Questions (PYQs)
Practice solved questions for Permutations and Combinations with detailed step-by-step solutions, key insights, and trend analysis for UPSC CSE PRELIMS.
Solved Previous Year Questions
Filter & practice questions topic-wise
How many words can one form by shuffling the letters of the word QUEUE, if Q is always followed by U? The words thus formed need not necessarily have any meaning.
Detailed Explanation:
The word QUEUE has letters: Q, U, E, U, E. Since Q must always be followed by U, treat QU as a single block. The remaining letters are U, E, E.
We now arrange 4 objects: {QU, U, E, E}. Since the two E's are identical, the number of arrangements = 4!/2! = 24/2 = 12.
Therefore, 12 words can be formed, making Option 4 the correct answer.
🧐 Not Sure What to Study Next?
Get a personalised study plan based on your goals, time and revision needs.
Related Topics in CSAT (Civil Services Aptitude Test)
Frequently Asked Questions
Common questions about Permutations and Combinations in UPSC CSE PRELIMS