Question

In a railway compartment, there are 2 rows of seating such that both the rows face each other and can accommodate 4 each, 3 facing forward and 2 facing towards the rear while the remaining 3 are indifferent. The 8 passengers can be seated in how many ways?

• A.
• B.
• C.
• D.
• E. None of these

Answer 1

The correct option is A

The number of ways the 8 passengers can be seated = $4_{C_3}\times 4_{C_2}\times 3!\times 2!\times 3!=3\ast 4!\ast 4!$