manish2014 wrote:

If there are 4 seats and two students, in how many ways can they be seated?

A. 12

B. 6

C. 8

D. 16

E. 10

Considering the Linear arrangement No. of ways of choosing 2 chairs out of 4 chairs on which two students will sit = 4C2 = 6

No. of ways of 2 people sitting on selected chairs = 2!

Total ways of making 2 people sit on 2 of 4 chairs = 4C2*2! = 6*2 = 12

ALTERNATENo. of ways of first person sitting on any one of the 4 chairs = 4 ways

No. of ways of Second person sitting on any one of the REMAINING 3 chairs = 3 ways

Total ways of making 2 people sit on 2 of 4 chairs = 4*3 = 12

Answer: option A

NOTE: Since it's not mentioned in the question whether seating arrangemtn is Linear or circular so I find it a small weakness in the question because the circular arrangement will be different for same no. of people and chairs.
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