“When you have eliminated all which is impossible, then whatever remains, however improbable, must be the truth.”

“How often have I said to you that when you have eliminated the impossible, whatever remains, however improbable, must be the truth?”

“Sherlock Holmes observed that once you have eliminated the impossible then whatever remains, however improbable, must be the answer. I, however, do not like to eliminate the impossible.”

“When the impossible is eliminated, whatever remains, however improbable, is the solution ... unless you're mistaken as to just what is and what isn't impossible.”

“What was the Sherlock Holmes principle? ‘Once you have discounted the impossible, then whatever remains, however improbable, must be the truth.’ ” “I reject that entirely,” said Dirk sharply. “The impossible often has a kind of integrity to it which the merely improbably lacks. How often have you been presented with an apparently rational explanation of something that works in all respects other than one, which is that it is hopelessly improbable?...The first idea merely supposes that there is something we don’t know about, and...there are enough of those. The second, however, runs contrary to something fundamental and human which we do know about. We should therefore be very suspicious of it and all its specious rationality.”

“Once you've ruled out the impossible then whatever is left, however improbable, must be the truth. The problem lay in working out what was impossible, of course. That was the trick, all right. There was also the curious incident of the orangutan in the night-time.”