Your JEE Main Mock Drill for This Chapter
This is a 27-question practice quiz in the JEE Main pattern, spanning the topics the official NTA syllabus draws from this chapter: the counting principle, factorial and / equations, arrangements with repeated letters, adjacency restrictions (bundle, gap, complement), circular tables, committee selections with at-least conditions, digit-number building, and subset counts.
These questions are modelled on the JEE Main pattern and difficulty; they are practice questions in the exam style, not reproductions of specific past papers.
The mix mirrors a real paper: roughly a quarter direct formula questions you should finish in under a minute, half standard two-step problems, and a quarter multi-step or trap questions of the kind that separate 99 percentilers.
[JEE Tip] Attempt all 27 in a single 60-minute sitting before reading any explanation. Then read every explanation, including for questions you got right — several carry standard results (identical objects choose gaps by not , the subset count, the digit-sum trick) worth quoting directly on exam day.
Score Yourself Like the Exam
Use JEE Main marking: +4 for a correct answer, −1 for a wrong one, 0 for skipped. Maximum score 108.
| Score | Reading |
|---|---|
| 88+ | Excellent — this chapter is exam-ready; carry the momentum into the Binomial Theorem |
| 64-87 | Solid — revisit the explanations of your errors, re-attempt those in 3 days |
| 40-63 | Concepts in place but speed needs work — redo Section 5 solved examples with a timer |
| Below 40 | Rebuild from Sections 2-4 (formulas, repeated letters, combinations) before re-attempting |
Key Point: A skipped question costs 0 but a wrong guess costs −1 AND a wasted minute. No plan in 30 seconds → mark for review and move on.