Factorial Math Example 3

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Example 3

easy
Evaluate 6!4!⋅2!\frac{6!}{4! \cdot 2!}.

Solution

  1. 1
    6!=7206! = 720, 4!=244! = 24, 2!=22! = 2.
  2. 2
    72024×2=72048=15\frac{720}{24 \times 2} = \frac{720}{48} = 15.

Answer

1515
This expression equals (62)\binom{6}{2}, connecting factorial computation directly to combinations.

About Factorial

The factorial of a non-negative integer nn, written n!n!, is the product of all positive integers from 1 to nn: n!=n⋅(n−1)⋯2⋅1n! = n \cdot (n-1) \cdots 2 \cdot 1.

Learn more about Factorial →

More Factorial Examples

Example 1 easy

Compute [formula].

Example 2 medium

Simplify [formula].

Example 4 medium

Solve for [formula]: [formula].

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