In how many ways can five students be seated in a straight line such that one of them Rahul is always at a corner position?
In how many ways can five students be seated in a straight line such that one of them Rahul is always at a corner position?
Option 1 -
24
Option 2 -
18
Option 3 -
48
Option 4 -
96
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1 Answer
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Correct Option - 3
Detailed Solution:Rahul can occupy any one of the two corner positions and therefore, Rahul can occupy a position in two ways.
The other four people can seat themselves in 4! ways, that is, 24 ways.
Total ways = 2 * 24 = 48 ways.
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Every number between 1000 and 2000, which is divisible by five and which can be formed by the given digits, must contains 5 in unit's place and 1 in thousand's place. Thus we are left with four digits out of which we are to place two between 1 and 5, which can be done in 4P2 = 12 ways. Hence, 12 numbers can be formed.
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