Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Permutation

Question:

In how many different ways can the letters of the word 'OFFICES' be arranged?

Options:

2520

2250

5054

2350

Correct Answer:

2520

Explanation:

OFFICES

This word has 7 letters and F comes 2 times

Number of ways in which letters can be arranged in word OFFICES

= \(\frac{ 7! }{2!}\)

= \(\frac{ 7 × 6 × 5 × 4 × 3 × 2 × 1   }{2 ×1 }\)

= \(\frac{ 5040  }{2  }\)

= 2520