1.

There are 12 steamers plying between A and B. In how many ways could the round trip from A be made if the return was made on (i) the same steamer? (ii) a different steamer?

Answer»

Given: 12 steamers plying between A and B.

To find: number of ways the round trip from A can be made. 

(i) The steamer which will go from A to B will be returning back, since the given condition is that same steamer should return. 

There are 12 steamers available so there are 12 different ways to make around trip between A & B if done on same steamer. 

(ii) If the return trip is done on different steamer than the once used in trip on going from A to B then the possible number of ways are:12 × 11=132. 

(11 because the once used in going from A to B cannot be used in returning hence, reduced by 1.)



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