Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • How many different ways can the letters in the word "INDEPENDENT" be arranged?Option: 1 554400<div class=

How many different ways can the letters in the word "INDEPENDENT" be arranged?

Option: 1

554400


Option: 2

454400


Option: 3

345400

 


Option: 4

654400


Answers (1)

best_answer

Given that,

The given word is “INDEPENDENT”.

The total number of letters in the word is 11.

The letter N is repeated thrice.

The letter D is repeated twice.

The letter E is repeated thrice.

Thus, the number of ways the letters in the word are arranged is given by,

\begin{aligned} & \frac{11 !}{3 ! 3 ! 2 !}=\frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2}{3 \times 2 \times 3 \times 2 \times 2} \\ & \frac{11 !}{3 ! 3 ! 2 !}=11 \times 10 \times 9 \times 8 \times 7 \times 2 \times 5 \\ & \frac{11 !}{3 ! 3 ! 2 !}=554400 \end{aligned}

Therefore, the total number of ways the letters are arranged is 554400 ways.

Posted by

sudhir.kumar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: NIT Rourkela cut-offs for CSE, chemical engineering drop; last years' closing ranks
anam-khan

JEE Main 2025 Live: NTA exam city slip at jeemain.nta.nic.in soon; session 1 schedule
anam-khan

JEE Main 2025 schedule out for session 1; paper 1 from January 22

Latest Question