What is the distance of the line segment between the endpoints (-6,5),(4,-5)
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Answer:
number of subsets of a set with 13 elements are:
Step-by-step explanation:
In order to solve this intuitively, we can start by a set with lesser elements. This will reveal a pattern that will be used to solve for the subsets of the 13 element set.
If we start with a set B. which contains only 3 elements.
how many subsets of B are there? well we can count them. [the set containing {1,2} and {2,1} are the same, arrangement doesn't matter]
there are a total of 9 subsets here.
Similarly, if you try a with a subset with only two elements you'll find that it has a total of 4 subsets.
We can see that combinatorics is at play here.
for the set B. the number of subsets can be written as:
if we try with a 2-element set:
We can use the same technique to find the number of subsets of the 13 element set.
But if you recognize a pattern here that this sets of combinations are actually part of the pascal triangle, the sum of each row of the triangle is 2^{the row's number}. hence.
So finally, the subsets of a 13-element set A will be
The sum of the length of the two sides of the triangle must be greater than the length of the third side. None of the triangles is formed. Then option A is correct.
<h3>What is the triangle?</h3>Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
The sides of the triangle are 4.7 m, 1.6 m, and 2.9 m.
The condition will be
We know that the sum of the length of two sides of the triangle must be greater than the length of the third side.
Hence, none of the triangles is formed.
Thus, option A is correct.
More about the triangle link is given below.