Question
There are 20 Bikes in the No-Parking zone. On a Particular day, A policeman planned to fine the four bikes of the No-Parking Zone. In how many ways can he plan such that no two of the bikes are next to each other?
Solution
Considering 4 bikes as one, there are 17 Bikes (16 + 1) from which a policeman fines such that no two such bikes are next to each other. This can be done in 17C4 ways = 17!/(4! ×13!) = 2380 ways
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