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Permutations & Combinations — JEE Practice

15 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

1 Topics15 Questions

Counting Principles(15 Qs)

easy (5)

Q1n! (n factorial) is defined as:Q2ⁿPᵣ (permutations) equals:Q3ⁿCᵣ (combinations) equals:Q4The value of ⁵C₂ is:Q5ⁿC₀ + ⁿC₁ + ... + ⁿCₙ equals:

medium (5)

Q1Number of ways to arrange n objects with p identical of one kind, q of another is:Q2The number of diagonals of an n-sided polygon is:Q3In how many ways can 8 people be seated around a circular table?Q4The number of words (with or without meaning) from LETTER using all letters is:Q5ⁿCᵣ = ⁿCₙ₋ᵣ is the ___ property:

hard (5)

Q1The number of derangements (permutations with no fixed point) of n objects is:Q2The number of ways to distribute n identical balls into r distinct boxes is:Q3The number of non-negative integer solutions of x+y+z = 10 is:Q4If ⁿCᵣ = ⁿCᵣ₊₂, then r equals:Q5The coefficient of x⁵ in (1+x)¹⁰ is:

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