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
Rzqust [24]
3 years ago
6

A "child has six blocks, three of which are red and three of which are green". How many patterns can shemake by placing them all

in a line?If she is given threewhite blocks, how many total patterns can she make by placing all nine blocks in a line?
Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer: There are 20 ways and 1680 ways respectively.

Step-by-step explanation:

Since we have given that

Total number of blocks = 6

Number of red blocks = 3

Number of green blocks = 3

So, Number of patterns she can make by placing them all in a line is given by

\dfrac{6!}{3!\times 3!}\\\\=20

If there are 3 white blocks

so, total number of white blocks becomes 9

So, Number of total pattern she can make by placing all nine blocks in a line is given by

\dfrac{9!}{3!\times 3!\times 3!}\\\\=1680\ ways

Hence, there are 20 ways and 1680 ways respectively.

You might be interested in
What is the measure if each interior angle of a 15-gon
olya-2409 [2.1K]

Answer:

  • The sum of the interior angles of the 15-gon =\:2340^0
  • Each interior angle of the regular polygon =\:156^0

Step-by-step explanation:

As we know that

In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,

The number of triangles thus formed would always  2  LESS than the number of sides.

As

  • The sum of measure of the angles of any triangle is 180°.

Thus,

The sum of the interior angles of the 15-gon will be:

13\:\times\:180\:=\:2340^0

Also

15-gon is regular, it means this total 2340^0 is shared in equal proportion among the 15 interior angles.

And

Each interior angle of the regular polygon will be:  \frac{2340^{0} }{15}=156^{0}

Therefore, we conclude that:

  • The sum of the interior angles of the 15-gon =\:2340^0
  • Each interior angle of the regular polygon =\:156^0

Keywords: regular polygon, 15-gon, triangle

Learn more about polygon from brainly.com/question/11932357

#learnwithBrainly

3 0
3 years ago
Tan2(θ) − 3 = 0<br> Find all solutions for the given equation.
kondaur [170]
Hello :
tan²(θ) = 3.. equi : tan(θ) = √3  or tan(θ) = -√3
1 ) tan(θ) = √3
tan(θ) = tan(<span>π/3)
</span>θ = π/3 +kπ  k in Z
2)tan(θ) = -√3
tan(θ) = tan(-π/3)
θ = -π/3 +kπ  k in Z


4 0
2 years ago
Target offered a 60% discount off the original
galina1969 [7]

Answer:

60.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find an equation in the form y=ax2+bx+c for the parabola passing through the points.(−3,61), (4,96), (2,16)
puteri [66]

Answer:

9657

Step-by-step explanation:

3 0
3 years ago
Here is the Triangle <br><br> What is the measure of angle A?
Luba_88 [7]

Answer:

45 degree angle

Step-by-step explanation:

Pleeaase correct me if  im wrong

3 0
3 years ago
Other questions:
  • How do cnidaria feed,move, and reproduce​
    8·1 answer
  • The square pyramid shown below has a base with sides of 121212 units. The vertical height of the pyramid is 151515 units. What i
    9·1 answer
  • Least common denominator of 1/8 2/9 and 3/12
    5·1 answer
  • 0.80 in decimal form is equivalent to 800%
    11·1 answer
  • Which is equivalent to 450b^9 after it has been simplified completely?
    10·1 answer
  • PLEASE HELP!! I’L MARK AS BRAINLIEST!!
    11·1 answer
  • Please answer immediately.​
    10·1 answer
  • Which point is a reflection of (12, −8) across the y-axis on a coordinate plane? A (8, 12) B (−8, 12) C (−12, −8) D (12, 8)
    13·1 answer
  • Kari's paper cup holds 6 fluid ounces. If one ounce is equivalent to 29.6 milliliters, how many milliliters does her paper cup h
    6·1 answer
  • Is 14 a rational number.?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!