If nP = 336 and nC = 56 , then n and r will be

Option A: (3, 2). Solution: MTP May 19

If nP = 336 and nC = 56 , then n and r will be

The correct answer is Option A: (3, 2). MTP May 19

Permutations and CombinationsMCQMTP May 19Question 6728 of 119

All Questions

If $\displaystyle ^nP = 336$ and $\displaystyle ^nC = 56$ , then $\displaystyle n$ and $\displaystyle r$ will be

Select Your Answer (Keyboard: A, B, C, D)

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Correct Answer

✅ Option A — (3, 2)

All Options:

A(3, 2) ✓
B(8, 3)
C(7, 4)
DNone

Detailed Solution & Explanation

MTP May 19

About This Chapter: Permutations and Combinations

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Factorials, Permutations, Combinations

This chapter deals with the fundamental principles of counting. It covers factorials, circular permutations, restricted permutations, combinations, and the differences between selecting items versus arranging them.

View Official ICAI Syllabus

Exam Strategy Tip

The most common mistake is confusing 'P' (Arrangement) with 'C' (Selection). If order matters (like opening a lock), use P. If order doesn't matter (like choosing a team), use C.

Related Comparison Tables

Permutations vs Combinations: The Quantitative Aptitude Guide

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If nP=336\displaystyle ^nP = 336nP=336 and nC=56\displaystyle ^nC = 56nC=56, then n\displaystyle nn and r\displaystyle rr will be