Home
Class 12
MATHS
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?

Text Solution

Verified by Experts

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.
Promotional Banner

Similar Questions

Explore conceptually related problems

A man has 10 friends. In how many ways he can invite one or more of them to a party?

In how many ways can 5 different books be tied up in three bundles?

Mohan has 8 friends, in how many ways he invite one or more of them to dinner?

A child has four pocket and three marbles. In how many ways can the child put the marbles in its pocket?

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected, if the team has. At least three girls?

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected, if the team has. exactly three girls?

How many chords can be drawn through 21 points on a circle?

A group consists of 5 girls and 6 boys. In how many ways can a team of 4 members be selected if the team has no girl ?

Seven relatives of a man comprises four ladies and three gentlemen: his wife has also seven relatives-three of them are ladies and four gentlemen. In how many ways can they invite 3 ladies and 3 gentlemen at a dinner party so that there are three mans relatives and three wifes relatives?

There are 10 candidates for an examination out of which 4 are appearing in Mathematics and remaining 6 are appearing indifferent subjects. In how many ways can they be seated in a row so that no two Mathematics candidates are together?