Correct Answer - Option 1 : 10080
The number of ways in which the word MARRIAGE be arranged to form a 8 letter word = 8! ÷ (2! × 2!)
As 'A' and 'R' appears twice in the word, we divide the total number of ways by 2! twice.
= (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) ÷ (2 × 1 × 2 × 1)
= 8 × 7 × 6 × 5 × 3 × 2 × 1
= 10080
Hence, ‘10080’ is the correct answer.
