Answer:
![20,475\ ways](https://tex.z-dn.net/?f=20%2C475%5C%20ways)
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
![C(n,r)=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=C%28n%2Cr%29%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
![n=28\\r=4](https://tex.z-dn.net/?f=n%3D28%5C%5Cr%3D4)
substitute
![C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}](https://tex.z-dn.net/?f=C%2828%2C4%29%3D%5Cfrac%7B28%21%7D%7B4%21%2828-4%29%21%7D%5C%5C%5C%5CC%2828%2C4%29%3D%5Cfrac%7B28%21%7D%7B4%21%2824%29%21%7D)
simplify
![C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}](https://tex.z-dn.net/?f=C%2828%2C4%29%3D%5Cfrac%7B%2828%29%2827%29%2826%29%2825%29%2824%21%29%7D%7B4%21%2824%29%21%7D)
![C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}](https://tex.z-dn.net/?f=C%2828%2C4%29%3D%5Cfrac%7B%2828%29%2827%29%2826%29%2825%29%7D%7B%284%29%283%29%282%29%281%29%7D)
![C(28,4)=20,475\ ways](https://tex.z-dn.net/?f=C%2828%2C4%29%3D20%2C475%5C%20ways)
Evaluate a^2 where a = -5:
a^2 = (-5)^2
Hint: | Evaluate (-5)^2.
(-5)^2 = 25:
Answer: 25
Answer: 2.7mm
Step-by-step explanation:
The formula for the circumference of a circle is given as 2πr. In thkw case, thw circumference is 17mm.
Therefore, 2πr = 17
2 × 3.14 × r = 17
6.28r = 17
r = 17/6.28
r = 2.7mm
Therefore the radius of the circle is 2.7mm
Add all of the ounces in the basket.
6 2/3+3 1/2+ 5