Respuesta :
Answer:
20
Step-by-step explanation:
5! = 5*4*3*2*1
3! = 3*2*1
5!/3! = 5*4*3*2*1
----------------
3*2*1
Canceling common factors
= 5*4
= 20
For this case we have that by definition, the factorial of a number is the product of the "n" consvutive factors from n to 1. The factors are in descending order, that is:
[tex]n! = n (n-1) (n-2) ... 3 * 2 * 1[/tex]
Then, we have the following expression:
[tex]\frac {5!} {3!}[/tex]
Applying the definition we have:
[tex]\frac {5!} {3!} = \frac {5 * 4 * 3 * 2 * 1} {3 * 2 * 1} = \frac {120} {6} = 20[/tex]
ANswer:
20
