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Question
A double-decker bus has 5 empty seats in the upstair and 5 empty seats in the downstair. 10 people board the bus of which, 2 are old people and 3 are children. The children refuse to take seats down stair while old people insist to stay down stair. In how many different arrangements can the 10 people take seats in the bus?
A double-decker bus has 5 empty seats in the upstair and 5 empty seats in the downstair. 10 people board the bus of which, 2 are old people and 3 are children. The children refuse to take seats down stair while old people insist to stay down stair. In how many different arrangements can the 10 people take seats in the bus?
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Solution
The correct option is D 144000
Total No. of ways =
No. of ways to assign 2 seat down to old
+No. of ways to assign 3 seats to children
+No. of ways of arranging the reamining 5 people
= 5C3.3!×5C2×2!.5!
=144000
Total No. of ways =
No. of ways to assign 2 seat down to old
+No. of ways to assign 3 seats to children
+No. of ways of arranging the reamining 5 people
= 5C3.3!×5C2×2!.5!
=144000
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