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How many ways can Laura color a map with 4 adjacent regions if she has 15 colored pencils?

To determine the number of ways Laura can color a map with 4 adjacent regions using 15 colored pencils, we can use the principle of the coloring problem. Each of the 4 regions can be colored in any of the 15 colors, but adjacent regions must be different colors. The first region can be colored in 15 ways, the second in 14 ways (to ensure it's different from the first), the third in 14 ways, and the fourth in 14 ways as well. Therefore, the total number of ways to color the map is (15 \times 14^3).


What is the adjacent spaces?

Adjacent spaces refer to areas or regions that are next to each other or share a common boundary. In various contexts, such as geography, architecture, or mathematics, adjacent spaces can imply physical proximity or relational closeness. For example, in urban planning, adjacent spaces may involve parks next to residential areas, enhancing accessibility and community interaction. In mathematics, adjacent spaces can refer to sets or elements that are directly next to one another in a given structure.


What are sides that form a right angle?

Mutually perpendicular, adjacent sides.Mutually perpendicular, adjacent sides.Mutually perpendicular, adjacent sides.Mutually perpendicular, adjacent sides.


Does a hexagon have adjacent angles?

a hexagon could be adjacent only if it is regular an octagon is adjacent


Does a trapezium have adjacent sides?

All polygons have adjacent sides. Adjacent simply means "next to".

Related Questions

What does hypothaiamicohypophyseais?

Hypothaiamicohypophyseais refers to the pituitary and adjacent regions of the brain.


What regions is adjacent to the European region?

The European region is adjacent to regions such as North Africa, Middle East, and Central Asia. It also shares borders with the Arctic region to the north and the Atlantic Ocean to the west.


Where are the coastal regions?

A city that is close to the coast. Aka the ocean


What regions of Canada were claimed by the French?

Lower Canada adjacent to the St. Lawrence River system.


What is the most likely reason why a region is higher than adjacent regions?

The region is likely higher due to geological processes such as tectonic activity or volcanic activity that have uplifted the land. Erosion could also have caused adjacent regions to become lower over time.


What is the biggest word spelled by the periodic table?

HYPoThAlAmICoHYPoPHYSeAlSwhich means, "Relating to the pituitary and adjacent regions of the brain


What has the author Hiroshi Kanda written?

Hiroshi Kanda has written: 'Catalog of moss specimens from antarctica and adjacent regions'


what region is to the left and right of the umbilical region?

The right and left lumbar regions are located adjacent to the umbilical region.


Can you provide an example of a graph coloring problem along with its solution?

One example of a graph coloring problem is the map coloring problem, where you have a map of regions that need to be colored in such a way that no two adjacent regions share the same color. For instance, consider a map with four regions: A, B, C, and D. If A and B are adjacent, they cannot be the same color. One possible solution could be to color region A red, region B blue, region C green, and region D yellow. This way, no adjacent regions share the same color, satisfying the graph coloring constraint.


What has the author Harumi Ochi written?

Harumi Ochi has written: 'A revision of the Bryaceae in Japan and the adjacent regions' 'Nomonhan Jiken'


The country Flanders refers to modern day?

Flanders is one of the regions and communities of the northwestern part of Belgium. It is adjacent to France and The Netherlands.


What has the author Cameron Knox written?

Cameron Knox has written: 'The Bryozoa of Puget Sound and adjacent regions' -- subject(s): Bryozoa