Question 1 of 92
ThinkCAT Practice SetQAModern Math • Permutation & CombinationEasy
How many ways can the letters of the word 'CAT' be arranged?
⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution
Modern Math • Permutations & Combinations (P&C) Practice Drills (92 Qs)• Convenor Master Key Verified
CAT Permutations & Combinations Practice Questions (90+ Questions)
Combinatorial Selections, Arrangements with Repetition, Circular Permutations, Derangements, and Partitioning
92 Total Questions
MCQ: 77 (+3 / -1)
TITA: 15 (0 Negative Penalty)
CAT Direct Answer Fact Sheet & Citation Summary
Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 31 October 2026
Curated Practice Bank
92 Qs
77 MCQ + 15 TITA
99%ile Score Benchmark
28–31 Marks (out of 66 in QA, ~10 net correct questions)
Scoring Scheme
+3 / -1 / 0
Zero penalty on TITA
Testing Interface
TCS iON CBT
On-Screen Calc Enabled
IIM Exam Strategy & Score Maximization Directives
1Prioritize high-yield arithmetic & algebra questions first to secure the 85th percentile sectional cutoff in the first 20 minutes.
2TITA questions carry zero negative penalty (0 marks for wrong answers); attempt all TITA questions before the sectional timer runs out.
3Use the on-screen digital calculator only for complex 3-digit divisions; mental math approximations save 35–45 seconds per question.
Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.
Citation Format: ThinkCAT Academic Archive (thinkcat.in)
Exam Hall Pitfalls & Elimination Tactics: Permutations & Combinations (P&C) Practice Drills
- 1Applying (n-1)! to circular permutations where clockwise and counterclockwise arrangements are identical (divide by 2).
Interactive Problem Sets (9 Modules)
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Set 07: Permutation & Combination
Difficulty: Hard
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Set 08: Permutation & Combination
Difficulty: Easy
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Set 09: Permutation & Combination
Difficulty: Easy
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Official Exam Questions & Explanations (25 of 92)
Sorted in official convenor sequenceThis question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
Question 14 of 92
ThinkCAT Practice SetQAModern Math • Permutation & CombinationHard
In how many ways can a committee of 4 be formed from a group of 8 people such that two specific individuals, Alice and Bob, are not both on the committee together?
⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
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Frequently Asked Questions about CAT Permutations & Combinations Practice Questions (90+ Questions)
What concepts are covered in the Permutations & Combinations (P&C) Practice Drills practice module?
This module covers Permutation & Combination with 92 verified problems ranging from core foundation to high-difficulty CAT exam hall level.
What is the recommended solving time for Permutations & Combinations (P&C) Practice Drills questions?
The ideal target pace is 1.8 to 2.2 mins / question. Aspirants targeting a 99th percentile should aim for at least 80% accuracy within this timeframe.
Where can I find official past year CAT papers for Permutations & Combinations (P&C) Practice Drills?
Official past year exam questions are available in our CAT Permutation & Combination PYQs module.
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