NCERT · Class 11 · Mathematics · Permutations and CombinationsWhat is the value of $5!$ (5 factorial)?
Step-by-Step Solution
The factorial of a positive integer $n$, denoted by $n!$, is the product of all positive integers less than or equal to $n$. Therefore, $5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$. Thus, option B is correct.
Detailed Options Breakdown
Option : 60
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Permutations and Combinations.
Option 1: 120 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 24
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Permutations and Combinations.
Option 3: 720
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Permutations and Combinations.
💡 Study Guide: This question tests core syllabus concepts from Permutations and Combinations. For formulas, key summaries, and mock exam reference guides, read the full Permutations and Combinations Revision Notes.