Permutations and CombinationsMCQMTP May 18Question 6670 of 119

If two letters are taken at random from the word HOME, what is the Probability that none of the letters would be vowels?

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

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Correct Answer

✅ Option A — $\displaystyle \frac{1}{6}$

All Options:

A $\displaystyle \frac{1}{6}$ ✓
B $\displaystyle \frac{1}{2}$
C $\displaystyle \frac{1}{3}$
D $\displaystyle \frac{1}{4}$

Detailed Solution & Explanation

MTP May 18

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.

Key Concepts to Understand

Probability

A numerical measure of the likelihood of an event occurring, expressed as a number between 0 (impossible) and 1 (certain). Formula: P(A) = Number of favorable outcomes / Total number of equally likely outcomes.

Related Comparison Tables

Permutations vs Combinations: The Quantitative Aptitude Guide

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