Option 1 : 3600

Fractions (In trend most asked questions)

14987

10 Questions
10 Marks
12 Mins

Total number of people = 2 + 5 = 7

∴ Number of ways in which they can be seated = 7!

Let suppose that the girls sit together

∴ Number of ways in which the girls are seated amongst themselves = 2!

Since the girls sit together, they are considered as 1 unit

∴ Total number of seated units = 6

⇒ Arrangement of people = 6! × 2!

Now, the number of ways in which the people can be seated such that the girls do not sit together = (Total possible number of ways) – (Number of ways in which girls sit together)

⇒ Number of ways = 7! – (6! × 2!) = 3600