
In other words, how many ways are there to choose

objects from a total of

objects? Just one; take all of them at the same time.
Answer:
StartFraction negative 1 Over k cubed EndFraction
Step-by-step explanation:
3k / (k + 1) × (k²- 1) / 3k³
= 3k(k² - 1) / (k + 1)(3k³)
= 3k³ - 3k / 3k⁴ + 3k³
= -3k / 3k⁴
= -1/k³
StartFraction k + 1 Over k squared EndFraction
(k + 1) / k²
StartFraction k minus 1 Over k squared EndFraction
(k - 1)/k²
StartFraction negative 1 Over k cubed EndFraction
= -1/k³
StartFraction 1 Over k EndFraction
= 1/k
Answer:
There are 220 choices
Step-by-step explanation:
Given

(President, Treasurer and Secretary)
Required
Determine number of selection (if no restriction)
This is calculated using the following combination formula:

Where


So, we have:









<em>There are 220 choices</em>
Hey there! :D
3,942,588
The thousandths is where the 2 is.
If the number behind the 2 is 5 or greater, we round up to 3.
It is, so round up:
3,943,000 <== rounded number
I hope this helps!
~kaikers
Multiplication because you are going to multiply the recipe by 2 to double it.