排列與組合的難解問題?

2016-02-02 3:09 pm
A parking lot has 7 unoccupied parking spaces in a row, ONe unoccupied parking space can only be occupied by one car. 4 cards enter the parking lot and occupy the 7 unoccupied parking splaces at random. Find the probability that the 4 cars are not parked next to each other

回答 (1)

2016-02-02 4:13 pm
✔ 最佳答案
Suppose A, B, C, D, E, F, G are the 7 unoccupied parking spaces
A, C, E, G:4 cars
B, D, F:no cars

The probability that the 4 cars are not parked next to each other
= 1/C(7,4)
= 1/35


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