| ## Algebra | |
| A1. Find the roots of the quadratic equation \(x^2 - 4x + 4 = 0\). | |
| Solution. The equation simplifies to \((x - 2)^2 = 0\), so the root is \(x = 2\). | |
| A2. Determine the value of \(y\) in the equation \(2y + 3 = 7\). | |
| Solution 1. Subtracting 3 from both sides gives \(2y = 4\). | |
| Solution 2. Dividing both sides by 2 gives \(y = 2\). | |
| ## Combinatorics | |
| C1. How many ways can 3 objects be arranged in a line? | |
| Solution. The number of permutations of 3 objects is \(3! = 6\). |