Answer:
720
12
120
Step-by-step explanation:
Factorials
We must recall that the factorial of a number n (positive or zero) is the product of all the integers from n down to 1
[tex]n!= n(n-1)(n-2)...1[/tex]
Let's evaluate the given expressions
[tex]6!=6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=720[/tex]
Similarly
[tex]3!\cdot 2!=(3\cdot 2\cdot 1)\cdot (2\cdot 1)=6\cdot 2=12[/tex]
Finally
[tex]\displaystyle \frac{6!}{3!}=\frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}[/tex]
[tex]\displaystyle \frac{6!}{3!}= \frac{720}{6}=120[/tex]
