This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Problem 1 (continued): Let G be the set of houses receiving Graphic and T be the set of houses receiving Times. Total houses, n(G T) = 40. Number of Graphic copies, n(G) = 26. Number of Times copies, n(T) = 24. Step 1: Use the Principle of Inclusion-Exclusion to find the number of houses receiving both newspapers. The formula is n(G T) = n(G) + n(T) - n(G T). Substitute the given values: 40 = 26 + 24 - n(G T) 40 = 50 - n(G T) n(G T) = 50 - 40 n(G T) = 10 So, 10 houses receive both Graphic and Times. Step 2: Find the number of houses which receive Times only. The number of houses receiving Times only is n(T) - n(G T). n(Times only) = 24 - 10 n(Times only) = 14 The number of houses which receive Times only is 14. That's 2 down. 3 left today — send the next one.