SOLUTION: Mr.x and Mr.y enter into a railway compartment having six vacant seats.The number of ways in which they can occupy the seats is a)25 b)31 c)32 d)30(correct) i tried it this

Question 1031487: Mr.x and Mr.y enter into a railway compartment having six vacant seats.The number of ways in which they can occupy the seats is
a)25
b)31
c)32
d)30(correct)
i tried it this way
Mr.x and Mr.y can be arranged among themselves in 2! ways.This can happen 6 times as there are six seats.
it means
no. of ways=2!*2!*2!*2!*2!*2!=32
but the correct answer is 30
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.
Mr.X can occupy any of 6 seats.
Then Mr.Y can occupy any of remained 5 seats.
Numbers of ways is 6*5 = 30.

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