Permutations and CombinationsMTP Jun 24Question 1743 of 171
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In an election, there are five candidates contesting for three vacancies; an elector can vote any number of candidates not exceeding the number of vacancies. In how many ways can one cast his votes?

Options

A12\displaystyle 12
B14\displaystyle 14
C25\displaystyle 25
DNone of these
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Correct Answer

Option c25\displaystyle 25

All Options:

  • A12\displaystyle 12
  • B14\displaystyle 14
  • C25\displaystyle 25
  • DNone of these

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.

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