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Lesson Worksheet: Factorials Mathematics

In this worksheet, we will practice finding the factorial of a known number and finding an unknown variable in an equation has factorial.

Q1:

Evaluate 4!.

Q2:

Evaluate 2!7!.

  • A9
  • B2,520
  • C12,520
  • D5
  • E19

Q3:

Find the solution set of (𝑛26)!=0!.

  • A{26,27}
  • B{0,27}
  • C{27}
  • D{26}
  • E{0,1}

Q4:

Without using a calculator, evaluate the expression 210(209)!210!.

Q5:

Simplify (𝑛+2)!𝑛!.

  • A𝑛(𝑛+1)
  • B(𝑛+2)(𝑛+1)
  • C𝑛(𝑛+1)(𝑛+2)
  • D𝑛(𝑛+1)(𝑛1)

Q6:

Find the value of 𝑛 which satisfies the equation (𝑛+48)!(𝑛+47)!=65.

Q7:

Find the solution set of 1(𝑛+7)!+1(𝑛+8)!=256(𝑛+9)!.

  • A{9}
  • B{25}
  • C{8}
  • D{7}

Q8:

Find the value of 𝑛 such that 𝑛!=720.

Q9:

Find the value of 𝑛 such that 𝑛(8𝑛1)!=5,040.

Q10:

Find the value of 𝑛 that satisfies the relation (𝑛28)!6!=7!𝑛27.

This lesson includes 19 additional questions and 218 additional question variations for subscribers.

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