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A hall has 12 gates. In how many ways ca...

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

A

`23`

B

`132`

C

`12`

D

`110`

Text Solution

Verified by Experts

The correct Answer is:
B

Since, there are 12 ways of entering into the hall. After entering into the hall, the man come out through a different gate in 11 ways.
Hence, by the fundamental principal of multiplication, total number of ways is `12xx11=132` ways.
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