10P8 = 10!/(10 - 8)! = 10!/2! = 1,814,400
Answer:
Step-by-step explanation:
Using the rule of exponents
= 
, then
= 
=
There are two ways to solve this.
The first way is logically.
Mary can
-wear a pink dress with black shoes -wear a pink dress with white shoes
-wear a blue dress with black shoes -wear a blue dress with white shoes
-wear a yellow dress with black shoes - wear a yellow dress with white shoes
Count them up, and you'll get six combinations!
Another way is simply mathematically, which is easier in my opinion.
3 (different colored dresses) × 2 (different colored shoes) = 6 (combos)
Answer:
i) superset (A)
ii) 0.577 (A)
Step-by-step explanation:
i) A subset is a set which has all its elements contained in another set.
For two sets A and B, if each element of set A is an element of set B, then A is a subset of B.
A superset is a set that houses another set. So if set A is a subset of set B, then B is a superset of A.
Proper subset
For a set (A) to be a proper subset of another (B) every element of A would be in B but there exists at least one element in B that is not in A.
An Empty Set (or Null Set) doesn't have aren't any elements in it. It is empty.
Since every element of the superset is in the superset. Therefore, A superset contains all the subset of superset.
ii) Square root of 1/3 = √⅓
= ± √⅓ = +√⅓ or -√⅓
+√⅓ = +(√1/√3) = +(1/√3)
+√⅓ = +(1/1.7321)
+√⅓ = +0.577
Therefore Positive square root of 1/3 is 0.577 (A)
Answer:
40 minutes
Step-by-step explanation:
You can simply make 200/5 = 40 5 minute calls per month.
This works because every call is a 5-minute call. So then we just have to find how many times we can make a 5-minute call up to 200 minutes. We already have an operation for this: Division. This acts as the opposite of multiplication and speeds our process up.
