Related Articles
- Question:** A quantum computing module processes information using 5 qubits, each of which can be in state \( |0\rangle \), \( |1\rangle \), or a superposition. However, due to constraints, exactly 2 qubits must be in state \( |1\rangle \), and the remaining 3 in state \( |0\rangle \). How many distinct configurations are possible?
- We must choose 2 qubits out of 5 to be in state \( |1\rangle \), and the remaining 3 automatically in \( |0\rangle \). Since the qubits are distinguishable, the number of configurations is simply the number of ways to choose 2 positions out of 5:
- \binom{5}{2} = \frac{5 \times 4}{2 \times 1} = 10
- Therefore, the number of distinct configurations is \(\boxed{10}\).
- Question:** An environmental engineer is evaluating 6 different renewable energy sources. In how many ways can she select a subset of at least 2 and at most 5 sources to pilot in a new solar-wind hybrid system?
- We are to compute the number of subsets of a 6-element set with size between 2 and 5, inclusive.
