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
Welcome back IB — missed you this week. Here are the solutions to the factorial problems: a) Solve (6!)/(4!2!) Step 1: Expand the factorials. (6!)/(4!2!) = (6 × 5 × 4 × 3 × 2 × 1)/((4 × 3 × 2 × 1)(2 × 1)) Step 2: Rewrite 6! as 6 × 5 × 4! to simplify. (6 × 5 × 4!)/(4! × 2!) Step 3: Cancel out 4! and calculate 2!. (6 × 5)/(2 × 1) = (30)/(2) Step 4: Simplify the fraction. (30)/(2) = 15 The value is 15. b) Solve (7!)/(6!) Step 1: Expand the factorials. (7!)/(6!) = (7 × 6 × 5 × 4 × 3 × 2 × 1)/(6 × 5 × 4 × 3 × 2 × 1) Step 2: Rewrite 7! as 7 × 6! to simplify. (7 × 6!)/(6!) Step 3: Cancel out 6!. 7 The value is 7. Send me the next one 📸