NCERT · Class 11 · Mathematics · Permutations and CombinationsEvaluate $^5P2$.
Step-by-Step Solution
The formula for permutation is $^nP_r = \frac{n!}{(n-r)!}$. Substituting $n = 5$ and $r = 2$, we get $^5P_2 = \frac{5!}{(5-2)!} = \frac{5!}{3!} = \frac{5 \times 4 \times 3!}{3!} = 5 \times 4 = 20$. Therefore, option A is correct.
Detailed Options Breakdown
Option : 20 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 10
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Permutations and Combinations.
Option 2: 60
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Permutations and Combinations.
Option 3: 30
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.