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
To find the value of the expression, we will simplify the factorials. Step 1: Factor out the common term 6! from the numerator. (6!7!-6!5!)/(5!4!) = (6!(7!-5!))/(5!4!) Step 2: Expand 7! in terms of 5! in the numerator. Recall that 7! = 7 × 6 × 5! = 42 × 5!. (6!(42 × 5! - 5!))/(5!4!) Step 3: Simplify the term in the parenthesis in the numerator. (6!(42-1)5!)/(5!4!) = (6! × 41 × 5!)/(5!4!) Step 4: Cancel out 5! from the numerator and the denominator. (6! × 41)/(4!) Step 5: Expand 6! in terms of 4!. Recall that 6! = 6 × 5 × 4!. ((6 × 5 × 4!) × 41)/(4!) Step 6: Cancel out 4! from the numerator and the denominator. 6 × 5 × 41 Step 7: Perform the multiplication. 30 × 41 = 1230 The value of the expression is: 1230 Send me the next one 📸