Math Problem Statement

Answer the questions

Evaluate the factorial: 5!

Solution

The question asks to evaluate the factorial of 5, denoted as 5!5!.

The factorial of a number n!n! is calculated as the product of all positive integers from 1 to nn. Thus:

5!=5×4×3×2×1=1205! = 5 \times 4 \times 3 \times 2 \times 1 = 120

The correct answer is 120.

Do you need more details or have any other questions? Here are 5 related questions for practice:

  1. What is the factorial of 6?
  2. How would you compute 0!0! and why is it defined that way?
  3. What is the factorial of 7, and what pattern do you notice?
  4. How are factorials used in combinations and permutations?
  5. What is the factorial of 10?

Tip: Factorials grow very rapidly, and they are used extensively in combinatorics, probability, and algebra.

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Math Problem Analysis

Mathematical Concepts

Factorials
Arithmetic

Formulas

n! = n × (n-1) × ... × 1

Theorems

Factorial theorem

Suitable Grade Level

Grades 6-8