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Six persons are standing in random order...

Six persons are standing in random order in a aqeue to buy tickets individually. Three of them have a ten rupee note each while the other three have a five rupee note each. The booking clerk has an empty cash box. Find the probability that all the 6 persons will get a ticket each without having to wait. Each ticket costs rupees 5.

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To solve the problem of finding the probability that all six persons will get a ticket each without having to wait, we can break it down into a series of logical steps. ### Step-by-Step Solution: 1. **Understanding the Problem**: - There are 6 persons in total: 3 have a 5 rupee note (let's denote them as A) and 3 have a 10 rupee note (denote them as B). - Each ticket costs 5 rupees. - The booking clerk starts with an empty cash box, meaning that the persons with 10 rupee notes can only buy tickets if there are sufficient 5 rupee notes already collected. ...
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