Math Problem Statement

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1. Therefore, 4! =

Solution

To calculate 4!4!, we follow the same method of multiplying the numbers from 4 down to 1.

4!=4×3×2×14! = 4 \times 3 \times 2 \times 1

Now, calculate step by step:

4×3=124 \times 3 = 12 12×2=2412 \times 2 = 24 24×1=2424 \times 1 = 24

So, 4!=244! = 24.

Would you like further details on how factorials work, or do you have other questions?

Here are 5 related questions to explore:

  1. How is the factorial of a number used in combinatorics?
  2. What is the difference between 5!5! and 6!6!?
  3. How do factorials relate to permutations and combinations?
  4. What is the factorial of 0, and why is it defined that way?
  5. Can you simplify 6!4!\frac{6!}{4!}?

Tip: Factorials grow very quickly. For large numbers, it's helpful to use a calculator or software to avoid manual calculation errors.

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Math Problem Analysis

Mathematical Concepts

Factorials
Multiplication

Formulas

n! = n × (n-1) × (n-2) × ... × 1

Theorems

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Suitable Grade Level

Grades 5-7