Answer: C
Step-by-step explanation:
is dotted and shaded below, so it represents
.
Also, is shaded above, so it represents
.
How many ways are there for six dogs and four cats to sit in a row in a strawberry field so that no two cats sit next to each ot
1 answer:
Answer: 5,760
Step-by-step explanation:
It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs.
Let D represent the dogs and C represent the Cat , then we have
D C D C D C D C D D or
D D C D C D C D C D or
D C DD C D C D C D or
D C D C D D C D C D or
D C D C D C DD C D
Each of the arrangements above could be done in
2 x 4! x 4! ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )
= 2 x 24 x 24
= 1 , 152
The total arrangement = 5 x 1 , 152
= 5,7 60 ways
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The thing that all these polygons have in common is B. Each appears to have one pair of parallel sides.
<h3>What is a polygon?</h3>A polygon is a plane figure characterized by a finite number of straight line segments joined to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both. A polygonal circuit's segments are known as its edges or sides.
A polygon is a two-dimensional closed object with straight sides that is flat or plane. It doesn't have any curved edges. The vertices are the spots where two sides intersect.
A geometric figure has parallel sides if the distance between them does not change and the sides do not meet or cross. Parallel sides of a shape are opposing, or across from each other, and would not intersect if extended infinitely beyond the shape's boundaries.
Parallelogram, rectangles, squares, trapezoids, hexagon, and octagon are examples of shapes with parallel sides.
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