Permutations and Combinations

Class 11 · Mathematics

57 questions20 easy26 medium11 hard

Sample Questions

Q1.The number of ways to select a cricket team of 11 from 15 players where 2 specific players always play is:

  • A¹³C₉
  • B¹³C₁₁
  • C¹³C₉ = 715
  • D¹⁵C₁₁

Q2.The sum ⁿC₀ + ⁿC₁ + ⁿC₂ + ... + ⁿCₙ equals:

  • An²
  • B2ⁿ
  • Cn!
  • Dn(n+1)/2

Q3.How many ways can 3 boys and 3 girls be seated alternately in a row?

  • A36
  • B72
  • C12
  • D144

Q4.How many 5-digit numbers can be formed using 1, 2, 3, 4, 5 (each used exactly once) that begin with an odd digit?

  • A72
  • B48
  • C36
  • D60

Q5.If ⁿC₂ = 45, then n equals:

  • A8
  • B9
  • C10
  • D11

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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