Probability
Geometry
Set
200

How many ways can the letters be rearranged in the named state of Mississippi?

11!/(1!, 3!, 4!, 2!) = 138,600 

200

If you have a 14-gon, which is represented as n. how do you find the interior angle? Hint: *You need to find the sum first*


First; (14-2) x 180 = 2160

Second; 2160/14 = 154.29

Formulas; (n-2) x 180=

Total/n=

200

what does infinite and finite mean in your own words? 

Finite- Sets with a finite/countable number of members are called finite sets. Because they can be counted, finite sets are also known as countable sets. If the elements of this set have a finite number of members, the operation will run out of elements to list. 

Infinite- A set that is not a finite set is called an infinite set. Countable and uncountable infinite sets are both possible.

400

The gym teacher is setting up the game of Dodge ball for 16 students within her class. How many ways can the teacher select 8 students from that 16 to make even sides?

c(16, 8) = 16!/ 16!(16-18) = 40,320

400
How do you find x in a problem with two different-sized right triangles? The big triangle has A= x and B=15 - the small right triangle has D= 8 and E= 12.  

x/8=15/12

X=10


400

A={2, 4, 6, 8, 10}

C={10, 2, 8, 6, 4}

Are these sets equivalent?

Yes, Set A has the same amount of numbers as set C, which is 5. Since the two cardinal numbers have the same sets, they are equivalent. 


600

What does 4! times 9! equal?

Equals 8,709,120

600

If the Perimeter of the cone-like object has a radius of 0.2 inches and a height of 3.875 inches, how can you find the Area?

 A= 0.823

V= 0.16

Formulas:

A=π r(r+√h2+R2)

V=π r2 h/3



600

If n(A)=12, n(B)=18, and n(A∩B)=23, then what is n(A∪B)?

nA∪B= N(12)+n(18)-n(23)= 7n