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
HACTEHA [7]
3 years ago
15

By [n][n] we denote the set {1,…,n}. A function f:[m]→[n] is called monotone if f(i) \leq f(j)f(i)≤f(j)whenever i < ji

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

Answer:

There are a total of  { 6 \choose 3} = 20 functions.

Step-by-step explanation:

In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.

The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words

{6 \choose 3} = \frac{6!}{3!(6-3)!} = \frac{720}{6*6} = \frac{720}{36} = 20  

You might be interested in
64/100 as a simplified fraction
spin [16.1K]
64/100
= (64/4) / (100/4)
= 16/25

The final answer is 16/25~
6 0
3 years ago
Read 2 more answers
Morgan had $1,679 in her savings account. After one year, her balance increases by 2%. How
bogdanovich [222]

Step-by-step explanation:

tvf-fmvg-bwn

come to this m*eet link

7 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP
IrinaK [193]

Answer:

{x,y} = {3,2}

Hope this helps!

Step-by-step explanation:

Brainliest?

5 0
3 years ago
How do you subtract integers?<br> like -81-(-34)
DedPeter [7]

Answer:

-47

Step-by-step explanation:

For this problem, we can use the rule "two negatives make a positive".

-81-(-34)

= -81 + 34

If you subtract 34 from 81, you find the opposite positive/negative answer.

81 - 34 = 47

Change all of the positive/negative signs:

-81 + 34 = -47

8 0
3 years ago
What are the zeros of f(x) = x^2 + x - 20?
kvv77 [185]
X² + x - 20
= (x+5)(x-4)

x + 5 = 0
x = -5

x - 4 = 0
x = 4

hence the answer is C
3 0
3 years ago
Other questions:
  • Solve for r whats the answer
    9·2 answers
  • Find the volume 10 2/5 x 3 x 8 1/3
    14·2 answers
  • The graph for the function f(x) = -4 |x+2|+4 is shown below​
    6·1 answer
  • 250 out of 20 find percentage of i​
    11·2 answers
  • Can someone help me? It's urgent and thank you!
    6·1 answer
  • Which set of ordered pairs represent y as a function of x?
    8·2 answers
  • If two lines in a linear system __________, they have exactly one point in common.
    7·2 answers
  • What is the theme of the poem Caged Bird Give a brief summary of the poem . Explain what poetic devices are. Provide historical
    12·1 answer
  • Help pls i think its pretty easy but i just dont get it my brains exhausted
    8·2 answers
  • Help me ASAP PLEASE
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!