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
What is it??????????????1
Gre4nikov [31]

it would be $.80, or 80 cents

6 0
3 years ago
Read 2 more answers
Pls somebody can help me? <br> What is the domain of f(x) = (1/2)^x ?
lana [24]

Answer:

all real numbers

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If △ABC is an isosceles triangle where AB¯≅AC¯, m∠A=(2x−20)°, and m∠B=(3x+5)°, then m∠C=__________°.
KengaRu [80]
Refer to the diagram shown below.

Because ΔABC is isosceles and AB = AC, therefore
m∠C = m∠B = (3x + 5)°

The sum of angles in a triangle is 180°, therefore
2(3x + 5) + 2x - 20 = 180
6x + 10 + 2x - 20 = 180
8x - 10 = 180
8x = 190
x = 23.75°

Therefore
m∠C = 3x + 5 = 3(23.75) + 5 = 76.25°

Answer: 76.25°

6 0
3 years ago
Which point is 5 units from (–6, 2)?
8_murik_8 [283]
There are 4 coordinate places from (-6, 2)

But from the choices.. It's B. (-6, -3)

Look at the attachment below for more info.

4 0
2 years ago
Use the distributive property to write an equivalent expression 4(5+19)=
wolverine [178]

4 ( 5 + 19 ) \\  = 4(24) \\  = 4\times 24  \\  =  \boxed{96 }

  • Use distribute property & then multiply.
  • If you want an expression then, 96 = <u>2⁵ × 3</u><u>.</u>

7 0
2 years ago
Other questions:
  • 3 strips of 2 yard wide outdoor carpet are used to cover a sidewalk. one is 3.5 yards long the second is 25 percent longer than
    12·2 answers
  • Find the real roots of the equation x^4-5x^2-36=0
    14·1 answer
  • 1+1=? <br> friend me plz<br> sup guys
    6·2 answers
  • Which equation is true for x = 5? A) 2x + 5 = 25 Eliminate B) 3x + 5 = 17 C) 5x − 18 = 7 D) 6x − 10 = 26
    9·2 answers
  • 27 ÷ 9 = n what does n equal?
    5·1 answer
  • Is this answer correct?
    7·1 answer
  • Dennis recently purchased an old car for $1000, and he knows that each year, the car’s value will increase by 2% each year. What
    6·1 answer
  • Which expression is equivalent to
    8·1 answer
  • Can you help me with this, please? ​
    11·1 answer
  • A rectangular swimming pool is 15 meters long, 14 1/2 meters wide, and 3 1/2 meters deep. What is its volume? in cubic meters
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!