Respuesta :

Answer:

72

Step-by-step explanation:

Remember that 9! = 7! (8)(9)

write Substitute

7!(8)(9) for 9!

7!(8)(9)/ 7!= (8)(9)= 72

Answer: 72

Step-by-step explanation:

By definition, it is important to know that the factorial of a non-negative integer "n" is the product of all positive integers less than or equal to "n".  This is expressed with an exclamation symbol (!):

[tex]n![/tex]

Then, the rule for this is the following:

[tex]n! = n *(n-1)![/tex]

Therefore, knowing this, you can evalute [tex]\frac{9!}{7!}[/tex] as following:

 [tex]\frac{9*8*7*6*5*4*3*2*1}{7*6*5*4*3*2*1}=\frac{362,880}{5,040}=72[/tex]

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