Wait… Why Does 0! Equal 1?

Common Mistakes
  • Multiply by zero

Video Length: 5:57

Why does 0! equal 1 instead of 0?

At first glance, it seems like 0! should be 0, but factorials are about more than just multiplication. In this video, I explain the meaning of a factorial and show why there is exactly one way to arrange zero objects, which leads to the surprising result that 0!=1.

You’ll learn:

• What a factorial actually represents
• Why factorials count arrangements
• Why 0! is defined as 1
• How this idea connects to permutations and counting
• A simple way to remember the result

This lesson is perfect for Algebra 2, Probability & Statistics, ACT Math, SAT Math, and anyone who has ever wondered why 0! equals 1.

📝 Key Question:
If a factorial counts arrangements, how many ways can you arrange zero objects?

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