Correct Answer - Option 2 : 20160
Given:
The word is "CALENDER"
Concept Used:
A word having 'n' letters in which 'a' letters are repeated can be written in n!/a! ways.
n! = n(n - 1)(n - 2) ... 3.2.1.
Where,
n = number of letters in the word
a = number of repeating letters in the word
Calculation:
According to the question, we have
The number of letters in "CALENDER" = 8
The number of letters which is repeated in the word "CALENDER" = 2
Now,
The number of ways to arrange the word "CALENDER"
⇒ 8!/2!
⇒ (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)/(2 × 1)
⇒ 20160
∴ The number of ways to arrange the word "CALENDER" is 20160.