• Pre algebra
  • Whole numbers
  • Factorial Notation

Factorial Notation

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  • Question 1:
    1 pts
    Present the following expression using a factorial notation.
    $5\cdot 4\cdot 3\cdot 2\cdot 1 =$
  • Question 2:
    1 pts
    Is the following expression true or false? $$0!=1$$
  • Question 3:
    1 pts
    Is the following expression true or false? $$5!+3!=8!$$
  • Question 4:
    2 pts
    Evaluate $$\dfrac{5!}{3!}.$$

    $5\cdot 4 =20$

    $5\cdot 3=15$

    $3\cdot 2\cdot 1=6$

    $4\cdot 3=12$

  • Question 5:
    2 pts
    Transform the expression.
    $n!=$
  • Question 6:
    2 pts
    Evaluate $$\dfrac{4!}{0!}.$$

    $4$

    $0$

    $16$

    $24$

  • Question 7:
    2 pts
    If $9!=362880,$ what is $10!?$
    $3268,8$
    $32688$
    $3268800$
    $32688000$
  • Question 8:
    2 pts
    Simplify $$\dfrac{(n-1)!}{(n+1)!}$$

    $\dfrac{1}{2\cdot (n+1)}$

    $\dfrac{1}{n\cdot (n+1)}$

    $\dfrac{2}{n\cdot (n+1)}$

    $\dfrac{1}{n\cdot (n-1)}$

  • Question 9:
    3 pts
    Present $9!+10!$ as the product of a whole number and a factorial number.
    $9\cdot 10!$
    $10\cdot 10!$
    $10\cdot 9!$
    $11\cdot 9!$
  • Question 10:
    3 pts
    Present $7!-5!$ as the product of a whole number and a factorial number.
    $42\cdot 7!$
    $42\cdot 5!$
    $41\cdot 5!$
    $41\cdot 7!$
  • Question 11:
    3 pts
    Solve $$\dfrac{n!}{(n-2)!}=20, n> 0.$$
    $n=$
  • Question 12:
    3 pts
    How many ways are there to arrange $4$ books on a shelf?

    $3$

    $4$

    $12$

    $24$