Question

Can you guys tell me what 6!/3!

Answer 1

`\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`

Answer 2

• 
  `\boxed{\sf{120}}`

Explanation:

Use the factorials formula.

Factorials formula:

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

→ 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.