A single shelf holds 27 books. On one particular shelf, 8 books are best sellers. If you choose to read 3 of them randomly, what is the probability all 3 chosen are best sellers? Give your answer as an exact fraction and reduce the fraction as much as possible.

Explanation:

1. Number of possible combinations

The number of possible combinations of 3 books from 27 books, whre the order does not matter, is given by the combinatory formula:

2. Number of combinations of 3 bestsellers from 8 books that are best sellers

3. Probability of all chosen are best sellers

answer: approximately 206 bones

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