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• 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?
 $3$ $4$ $12$ $24$