Question

(n-1)!/n(n-3)! помогите плиз

Answer 1

Разберёмся, что такое !
5! = 1*2*3*4*5= 120
8! = 1*2*3*4*5*6*7*8 = 6720 и т.д.
вывод: n! = 1*2*3*...*(n-3)*(n-2)*(n-1)*n 
(n-1)! = 1*2*3*...* (n-2)*(n-1)
у нас числитель = 1*2*3*...*(n - 3)*(n -2)*(n -1)
знаменатель = n*1*2*3*...(n - 4)*(n -3)
видно, что дробь можно сократить на  1*2*3*...*(n - 3)
Ответ:  (n - 2)(n -1)/n

Answer 2

Calculating (n-1)!/n(n-3)!

To calculate the expression (n-1)!/n(n-3)!, we can break it down step by step.

First, let's define the factorial function: - The factorial of a non-negative integer n is denoted by n! and is the product of all positive integers less than or equal to n.

Now, let's calculate (n-1)!/n(n-3)! step by step:

1. Calculate (n-1)! - (n-1)! is the product of all positive integers less than or equal to (n-1).

2. Calculate n(n-3)! - n(n-3)! is the product of n and the product of all positive integers less than or equal to (n-3).

3. Divide (n-1)! by n(n-3)! - Divide the result from step 1 by the result from step 2 to get the final value of the expression.

Let's calculate the expression using an example value of n to illustrate the steps.

Example Calculation

Let's take n = 5 as an example.

1. Calculate (n-1)! - (5-1)! = 4! = 4 x 3 x 2 x 1 = 24

2. Calculate n(n-3)! - 5 x (5-3)! = 5 x 2! = 5 x 2 x 1 = 10

3. Divide (n-1)! by n(n-3)! - (5-1)! / (5 x (5-3)!) = 24 / 10 = 2.4

So, for n = 5, the value of (n-1)!/n(n-3)! is 2.4.

Conclusion

The value of the expression (n-1)!/n(n-3)! depends on the specific value of n. For the example where n = 5, the result is 2.4. The result will vary for different values of n.