evaluate. 10! / 3! 7!
-
Subject:
Math -
Author:
madysonnavarro -
Created:
1 year ago
Answers 2
[tex]10! \div 3! 7! \\ = \frac{10!}{3! 7!} \\ = \frac{10 \times 9 \times 8}{3 \times 2} \\ = 5 \times 3 \times 8 \\ = 120[/tex]
-
Author:
luisvrbd
-
Rate an answer:
8
10! / (3! 7!) = 120
Given:
- [tex]\dfrac{10!}{3!7!} [/tex]
- 10! / (3! 7!)
- Evaluate
- n ! = Product of all the natural numbers from 1 to n
- n = 1 .2 . 3 . ... (n - 1) . n
- n ! = n ( n - 1) !
10! can be re written as
10 × 9 × 8 × 7 !
Step 2:Calculate 3!
3 × 2 × 1 = 6
Step 3:Substitute 10! = 10 × 9 × 8 × 7 ! and 3! = 6 in [tex]\dfrac{10!}{3!7!} [/tex]
[tex]\dfrac{10\times 9\times 8 \times 7!}{6\times 7!} [/tex]
Cancel 7! from Numerator and denominator
[tex]\dfrac{10\times 9\times 8 \time }{6 } [/tex]
[tex]\dfrac{10\times 72 }{6 } [/tex]
= 10 x 12
= 120
Hence, 10! / (3! 7!) = 120
-
Author:
adamhhkf
-
Rate an answer:
9
If you know the answer add it here!
Choose a language and a region
How much to ban the user?
1 hour
1 day
100 years