Get Answers to all your Questions

header-bg qa

In how many ways can the letters of the word "CHESS" be arranged?

Option: 1

20


Option: 2

30


Option: 3

40


Option: 4

60


Answers (1)

best_answer

The word "CHESS" has 5 letters.

Here, there are 2 S's and 1 each of C, H, and E. 

Since the letters are not all distinct, we need to use permutations with repetition to solve this problem. 

The total number of ways the letters of the word "CHESS" can be arranged is given by,

\begin{aligned} &\frac{5 !}{2 ! \times 1 ! \times 1 ! \times 1 !}=\frac{5 \times 4 \times 3 \times 2}{2}\\ &\frac{5 !}{2 ! \times 1 ! \times 1 ! \times 1 !}=60 \end{aligned}

Therefore, the number of ways the word is arranged is 60.

Posted by

Rakesh

View full answer

JEE Main high-scoring chapters and topics

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