1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brums [2.3K]
3 years ago
11

g If every pair of people in a group are friends, or if every pair are strangers, the group is called uniform. Show the above re

sults imply that every set of 6 people includes two uniform three-person groups.
Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0

Answer:

Every group of 6 people has at least two uniform 3-person groups.

Step-by-step explanation:

Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.

There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.

If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.

You might be interested in
What is the average (arithmetic mean) of the first 90 measurements in a certain list of 92 measurements? (1) the average of the
marishachu [46]
The sum of all the measurements is just the average times the number.

\bar x = \frac{1}{n} \sum_{i=1}^n x_i

\sum_{i=1}^n x_i = n \bar x

So if the average of all 92 is 7 the sum of those is 92 \times 7

The average of the last two is 7.2 so their sum is 2 \times 7.2

That means the sum of the first 90 is 92 \times 7 - 2 \times 7.2

so the average of the first 90 is

 \dfrac{92 \times 7 - 2 \times 7.2}{90} = 6.99556 cm



7 0
3 years ago
Kinda is buying boxes of ice cream sandwiches for her class party. She has to decide how many boxes she should purchase
kupik [55]
Please be specific, how many people are in her class?
6 0
3 years ago
I’m doing homework corrections can someone help me with this one
salantis [7]

between 50 and 100 it has 5 lines. so, 100-50 = 50 and divide to 5. because there are 5 parts. 50/5 = 10.1 line = 10. 50 + 10 + 10 = 70.ans: 70

4 0
3 years ago
I need help please do this for me<br><br> 49 times 3 divided by 7 square it times 1/4 Add 3/4
mylen [45]

Answer:

3/2 or 1.5 or 1 1/2

Step-by-step explanation:

8 0
2 years ago
What is the surface area of a sphere with radius of 3.5? A. 12.25p B. 14p C. 24.5p D. 49p
Anuta_ua [19.1K]
S=4π<span>r<span>2 - this is the equation for the surface area of a sphere. We know that the radius (r) is 3.5 so here's how  to solve this:

S = 4</span></span><span>π r2
S = 4</span><span>π (3.5)2
S = 4</span><span>π 12.25
S = 49</span><span>π 

The surface area of a sphere with radius of 3.5 is 49</span><span>π.</span>
7 0
3 years ago
Other questions:
  • 947×3 <br><br>What is the answer​
    9·2 answers
  • Use inverse operations to solve y + 3/4 = 6
    14·1 answer
  • Center: (0,-1), Circumference: 25Pie
    7·1 answer
  • I'm not sure how to do this. HELP
    9·2 answers
  • What the product of 0 and 5 explain how you know
    15·1 answer
  • Give an example of a defined term and explain what is defined.
    11·1 answer
  • I need hell with this :(
    5·1 answer
  • I dont really know how to do this and its due today, please help
    5·2 answers
  • there are 27 berries in a bowl and counter 1/3 of them are raspberries how many raspberries are in the bowl
    5·2 answers
  • Sodas cost $1.75 each. Write a direct
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!