Respuesta :

[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]

charliethebest2002

Answer:

  • [tex]\boxed{\sf{120}}[/tex]

Step-by-step explanation:

Use the factorials formula.

Factorials formula:

[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]

→ 6!/3!=6*5*4

⇒ 6*5*4

Solve a order of operations.

PEMDAS stands for:

  • Parenthesis
  • Exponents
  • Multiply
  • Divide
  • Add
  • Subtract

First, multiply.

→ 6*5*4

⇒ 6*5=30

⇒ 30*4=120

= 120

  • Therefore, the correct answer is 120.

I hope this helps you! Let me know if my answer is wrong or not.

Otras preguntas