A City Has 12 Gates. In How Many Ways Can A Person Enter The City Through One Gate And Come Out Through A Different Gate?

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Question

A city has 12 gates. In how many ways can a person enter the city through one gate and come out through a different gate?

Solution

Correct option is

132

Since, there are 12 ways to enter into the city. After entering into the city, the man can come out through a different gate in 11 ways. 

Hence, by the fundamental principle of counting. 

Total number of ways is 12 × 11 = 132 ways.

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