Permutations and CombinationsMCQMTP Sep 24 Series IIQuestion 6745 of 119

A candidate is required to answer $\displaystyle 6$ out of $10$ questions, which are divided into two groups each containing $5$ questions and he is not permitted to attempt more than $4$ from each group. In how many ways can he make up his choice?

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

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Correct Answer

✅ Option D — $200$

All Options:

A$315$
B$250$
C$450$
D$200$ ✓

Detailed Solution & Explanation

MTP Sep 24 Series II

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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A candidate is required to answer 6\displaystyle 66 out of $10$ questions, which are divided into two groups each containing $5$ questions and he is not permitted to attempt more than $4$ from each group. In how many ways can he make up his choice?