Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Permutation

Question:

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

Options:

572

9740

6720

4030

Correct Answer:

6720

Explanation:

Number of letters in ABSENTEE = 8 letters

Letter E repeated = 3 times

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

= \(\frac{ 8 !}{ 3! }\)

= = \(\frac{ 8×7× 6× 5 ×  4 ×  3!}{ 3! }\)

= 6720