Question

evaluate 12! -10!/9!​

Answer 1

( 12! -10! ) / 9! = 1310

Given :

The expression (12! -10!)/9!

To find :

To evaluate the given expression

Solution :

(12! -10!)/9!

= { (12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) - ( 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) } / ( 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 )

= ( 479001600 - 3628800 ) / 362880

= 475372800 / 362880

= 1310

* Factorial of a number is equal to the product of all the numbers from 1 till that number.

Hence,( 12! -10! )/9! = 1310

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Answer 2

Answer:

The value of

$\frac{12!-10!}{9!} = 1310$

Step-by-step explanation:

Given :

we are given an expression

$\frac{12!-10!}{9!}$

To Find:

The value of the expression

$\frac{12!-10!}{9!}$

Solution :

Since we are given the expression

$\frac{12!-10!}{9!}$

we know that

• 12 ! = 12 x 11 x 10 x 9 !
• 10 ! = 10 x 9 !

substituting the value of 12! and 10! we get

$\frac{12!-10!}{9!}=\frac{12\ \text{x}\ 11\ \text{x}\ 10\ \text{x}\ 9!-10\ \text{x}\ 9!}{9!}$

Now take 9! common from the numerator

$\frac{12\ \text{x}\ 11\ \text{x}\ 10\ \text{x}\ 9!-10\ \text{x}\ 9!}{9!}=\frac{9!(12\ \text{x}\ 11\ \text{x}\ 10-10)}{9!}$

Now 9! will cancel out from numerator and denominator

$\frac{9!(12\ \text{x}\ 11\ \text{x}\ 10-10)}{9!}$ = 12 x 11 x 10 -10

Now using the BODMAS principle

1320 - 10 = 1310

Hence we have calculated the value of

$\frac{12!-10!}{9!} = 1310$

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