XAT · Quantitative Ability and Data Interpretation
Permutations, combinations and probability
Counting, arrangements, selections and simple probability.
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- In the exam pattern: Part 1 (Verbal Ability and Logical Reasoning, Decision Making, Quantitative Ability and Data Interpretation), Quantitative Ability and Data Interpretation: 28 questions, 28 marks (XLRI notice, read 26 Oct 2026).
- Next exam day: XAT 2027 exam: 3 Jan 2027 (Reported, xatonline.in).
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Take a full mock →Q1 · Permutations, combinations and probability · MEDIUM
A consultant is organizing a panel discussion with 5 distinct speakers. The chairperson has requested that the speaker named Priya must sit immediately to the left of the speaker named Raj. Assuming all other speakers are distinct and no other restrictions apply, how many distinct seating arrangements are possible if the 5 speakers are seated in a row?
Q2 · Permutations, combinations and probability · HARD
A bag contains 3 red, 4 blue, and 5 green balls. If 3 balls are drawn at random without replacement, what is the probability that all 3 balls are of the same color?