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1. 192 2. 219 3. 327
It is not too onerous to solve by hand, bearing in mind the following restrictions:
The number in row 1 must lie between 123 and 329. It can contain no repeated digit. It can contain no "0". Its last digit cannot be "5".
But a computer solution is quicker!
1. In how many different orders can the candidates be arranged for interview?
2. Before the interviews begin what is the probability that the fourth candidate to be interviewed is the best overall?
3. After interviewing the fourth candidate the committee agrees that he is the best so far. What then is the probability that he is the best overall?