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Lesson: Properties of Permutations

Sample Question Videos

Worksheet • 25 Questions • 4 Videos

Q1:

Evaluate 9 5 𝑃 .

Q2:

Evaluate 6 3 7 5 𝑃 + 𝑃 .

Q3:

Evaluate 5 5 2 2 𝑃 Γ— 𝑃 .

Q4:

Evaluate 7 4 5 2 𝑃 𝑃 .

Q5:

Find the value of 𝑛 given that 𝑛 βˆ’ 1 0 2 𝑃 = 3 .

Q6:

If 4 9 π‘Ÿ + 3 4 9 π‘Ÿ + 2 𝑃 = 3 4 Γ— 𝑃 , find the value of π‘Ÿ βˆ’ 6 .

Q7:

If 𝑛 π‘Ÿ 𝑃 = 7 2 0 and π‘Ÿ = 1 2 0 , find the value of 9 π‘Ÿ βˆ’ 7 𝑛 .

Q8:

Find the solution set of the equation 2 4 0 𝑃 = 𝑃 π‘₯ + 2 2 π‘₯ + 4 4 .

  • A { 1 2 }
  • B { 1 9 }
  • C { 3 8 }
  • D { 2 4 }

Q9:

Find the value of 𝑛 such that 𝑛 3 𝑃 = 3 2 7 3 6 .

Q10:

If 𝑛 + 1 𝑛 βˆ’ 1 = 7 2 , find 𝑛 5 𝑛 6 𝑛 7 𝑃 + 𝑃 + 𝑃 .

Q11:

Find the smallest value of 𝑛 satisfying the inequality 𝑛 2 5 𝑛 2 4 𝑃 > 𝑃 .

Q12:

Find π‘š such that οŠͺ            𝑃 = 𝑃 .

Q13:

If 𝑛 1 5 𝑛 βˆ’ 1 1 4 𝑃 = 2 3 ο€Ή 𝑃  , find 𝑛 .

Q14:

If π‘₯ π‘Ÿ 𝑃 = 1 2 0 and π‘Ÿ = 2 4 , find π‘₯ + 2 π‘Ÿ βˆ’ 2 𝑃 .

Q15:

If 1 2 π‘₯ 𝑃 = 1 3 2 0 , find 7 π‘₯ βˆ’ 5 π‘₯ 𝑃 .

Q16:

Find the value of π‘š such that    𝑃 = 4 , 0 8 0 .

Q17:

If     𝑃 = 3 5 , 9 0 4 and 𝑛 + π‘š = 6 0 , find π‘š and 𝑛 .

  • A 𝑛 = 4 7 , π‘š = 1 3
  • B π‘š = 4 7 , 𝑛 = 1 3
  • C 𝑛 = 3 4 , π‘š = 9 4
  • D 𝑛 = 9 4 , π‘š = 3 4

Q18:

Evaluate ( π‘Ÿ + 2 ) ! given that 8 π‘Ÿ 𝑃 = 3 3 6 .

Q19:

If ο€Ό 3 4 𝑛  ! = 7 2 0 , find the value of 𝑛 5 𝑃 .

Q20:

Find the value of π‘₯ satisfying the equation 1 0 7 π‘₯ 1 0 7 π‘₯ βˆ’ 1 𝑃 βˆ’ 5 π‘₯ 𝑃 = 0 .

Q21:

Given that 𝑛 4 𝑛 βˆ’ 1 3 𝑃 = 8 Γ— 𝑃 , determine the value of 𝑛 .

Q22:

If π‘₯ + 𝑦 4 𝑃 = 3 6 0 and ( 2 π‘₯ + 𝑦 ) ! = 5 0 4 0 , find 𝑦 π‘₯ 𝑃 .

Q23:

Evaluate 5 2 𝑃 Γ— 2 ! .

Q24:

If the middle factor in the expansion of 𝑛 2 3 𝑃 is 69, find the value of 𝑛 .

Q25:

Find the value of the permutation for 𝑛 = 6 and π‘Ÿ = 2 .

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