A plane is travelling from Pakistan to USA making 4 stops on the way. Two different...

A plane is travelling from Pakistan to USA making 4 stops on the way. Two different passengers having 2 different tickets board the flight after the plane has left from Pakistan. What are the possible sets of tickets the two passengers may have?

(Note: The two passengers can have tickets for either of the stops including USA)

Expert Solution

The plane has already left Pakistan and has 4 stops on the way.

Let the first customer be represented as A

Let the second customer be represented by B

Let the four stops be 1,2,3,4

Then:

Customer A can board the plane at 1 and get off at 2
Customer A can board the plane at 1 and get off at 3
Customer A can board the plane at 1 and get off at 4
Customer A can board the plane at 2 and get off at 3
Customer A can board the plane at 2 and get off at 4
Customer A can board the plane at 3 and get off at 4

The above follows for customer B as well.

Hence the possible sets of tickets the two passengers may have - Total 6 possibilities each for A and B:

For customer A - {(A,1,2) (A,1,3) (A,1,4) (A,2,3) (A,2,4) (A,3,4)}

For customer B - {(B,1,2) (B,1,3) (B,1,4) (B,2,3) (B,2,4) (B,3,4)}

Overall there are a possibility of 6*6=36 combinations combined for both customer A and B.

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

orchestra answered 1 year ago

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