How many MCQ questions are available for Permutations and Combinations?

There are 57 MCQ questions available for Permutations and Combinations (Class 11 Mathematics) — 20 easy, 26 medium, and 11 hard.

Permutations and Combinations

Q: What topics are covered in Permutations and Combinations?

Key concepts covered: Applications of counting, Circular permutations, Combinations, Factorial notation, Fundamental principle of counting, Permutations, Permutations of objects not all distinct, Permutations with repetition, Relationship between permutations and combinations.

Class 11 · Mathematics

57 questions20 easy26 medium11 hard

Sample Questions

Q1.The fundamental principle of counting (multiplication principle) states: if one event can occur in m ways and another in n ways, the total ways both occur is:

Am + n
Bm × n
Cm – n
Dm / n

Q2.If ⁿPᵣ = 840 and ⁿCᵣ = 35, then r equals:

Q3.ⁿCᵣ = ⁿCₙ₋ᵣ because:

AChoosing r items is equivalent to choosing which (n–r) items to leave out
Br = n–r always
CThe formula is always symmetric
Dr + (n–r) = n

Q4.In how many ways can 4 people be seated in a row if 2 specific people must sit together?

Q5.How many ways can 4 people sit in a circle such that 2 specific people must NOT sit together?

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

Applications of countingCircular permutationsCombinationsFactorial notationFundamental principle of countingPermutationsPermutations of objects not all distinctPermutations with repetitionRelationship between permutations and combinations

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