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Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

An art pattern uses Pascal coefficients to form powers of m+nm+n and m−n.m-n.
Total: 4 marks

(a) Write the coefficient row for power 55. (1 mark)

(b) Find the coefficient of m3n2m^3n^2 in (m+n)5(m+n)^5. (1 mark)

(c) Find the coefficient of m2n3m^2n^3 in (m−n)5(m-n)^5. (2 marks)

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cbse-math-11.u2.t2-4.case.005

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