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
BARSIC [14]
3 years ago
14

How many ways can we pick three distinct integers from {1, 2, ..., 15} such that their sum is divisible by 3?

Mathematics
1 answer:
gogolik [260]3 years ago
5 0

Answer:

Clearly from 1 to 15 we can only have the sum 6,9,12 and 15 to be divisible by 3.

Now meaning we have 4! ( 4 factorial) which implies 4x3x2x1= 24 .

We have 24 ways to pick distinct integers that are divisible by 3.

Step-by-step explanation:

The first thing you need to do is to look for numbers that are divisible by 3. Then you take its factorial

You might be interested in
Factorise 10+5d help me plssssss
aleksley [76]

5(2 + d)
Since 5 is divisible by 10 and 5, we can factor out a 5 from both terms.
8 0
2 years ago
What is the constant proportionality of 3 cans and 9 balls
Masja [62]
The constant proportionality is whats left over
3 0
3 years ago
What is the temperature, in degrees Fahrenheit, shown on the thermometer to the nearest integer? Enter your integer answer in th
Illusion [34]
It’s negative 4 because the scale shows there is 4 lines
8 0
2 years ago
If f(x)=x-2 which of the following is the inverse of f(x) brainly
Lostsunrise [7]

Answer:

The inverse of f(x) is  f ^ {- 1}(x) = x + 2

Step-by-step explanation:

To find the inverse of the function f (x) = x-2, perform the following steps:

1) do y = f (x)

y = x-2

2) Solve the equation for the variable x.

y + 2 = x -2 +2

y + 2 = x

3) exchange the variable x with the variable y

y + 2 = x ----> x + 2 = y

4) Change the variable y by f ^{- 1}(x)

Finally the inverse function is:

 f ^ {- 1} (x) = x + 2

4 0
3 years ago
A temperature 5C below freezing
nirvana33 [79]
What’s the question
6 0
2 years ago
Read 2 more answers
Other questions:
  • 6) mcPOF x + 42, mCPOR - 87°,<br>and mzFOR r + 65. Find x.
    8·1 answer
  • How do you model 604 divided 4 and 796 divided 6 and 449 divided 5
    15·1 answer
  • The length of the shadow of a building is 150 meters, as shown below: The shadow of a building is 150 meters long. The acute ang
    14·2 answers
  • What is the measure of the complement of JKI? the supplement
    14·1 answer
  • Please help!!!!!!!!!!!!!!!!!!
    6·1 answer
  • What is the equation of the line that passes through the point (-5, -11) and is parallel to the line whose equation is y = 2x +8
    12·2 answers
  • If x2 = 64and y2 = 121, what is the value of x - y
    13·1 answer
  • (-7. + 3 + x) - (=6 - 7.3 + 2.)
    11·1 answer
  • A map scale reads: 2 inches = 25 miles. Which distance does 6 inches representa
    12·2 answers
  • Simplify. Use the distributive property. 5(3x+1)​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!