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A class of problems that requires one to use permutations and combinations for computing probability has at its heart notion of sets and subsets. They are generally an abstract formulation of some concrete situation and require the application of counting techniques. A is a set containing 10 elements. A subset P_(1) of A is chosen and the set A is chosen and the set A is reconstructed by replacing the elements of P_(1). A subset P_(2) of A is chosen and again the set A is reconstructed by replacing the elements of P_(2). This process is continued by choosing subsets P_(1), P_(2), ... P_(10). The number of ways of choosing subsets P_(1), P_(2),...P(10) is |
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Answer» `4^(100)` |
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