subject: discrete structuresthere may be several correct answersHow many leaves in quaternary tree with 133 vertices? 15. How many leaves in quaternary tree with 133 vertices?a) 125b) 532c) 175d) 100e) 533

Since we know that , A 'm' ary tree with 'n' vertices has l={(m-1)n+1}/m leaves .

Answered: 15. How many leaves in quaternary tree…

Math

Advanced Math

15. How many leaves in quaternary tree with 133 vertices? a) 125 b) 532 c) 175 d) 100 e) 533

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 39SE: How many arrangements can be made from the letters of the word “mountains” if all the vowels must...

See similar textbooks

Related questions

Q: A polyhedron has 6 faces and 7 vertices. How many edges does it have?

A: Polyhedron is a three dimensional solid structure formed by joining polygons. Let F be the number of…

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

A: there are given faces, vertices and edges. we have to find which polyhedron exists. we know the…

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

Q: In a convex, regular 16-gon. .how many diagonals can be drawn from one vertex? ..how many triangles…

A: Polygon property

Q: The endpoints of the sides of a polygon are called: Vertices None of the above Legs Bases

A: Explanation of the answer is as follows

Q: The endpoints of the sides of a polygon are called: O Vertices None of the above Legs Bases

A: End points of a sides of a polygon.

Q: Using diagonals from a common vertex, how many triangles could be formed from an 18-gon?

A: Using diagonals from a common vertex, how many triangles could be formed from an 18-gon?

Q: How many triangles are determined by 8 points, no three of which are collinear?

A: To find How many triangles are determined by 8 points, no three of which are collinear

Q: II. Draw a Venn diagram illustrating the relationships among the sets of all quadrilaterals (Q),…

A: to draw Venn diagram representation of quadrilaterals Q parallelograms P Trapezoids T rectangles R…

Q: 4. In a convex 16-gon: a. How many diagonals can be drawn from 1 vertex? b. How many triangles are…

A: We can solve this problem by observing the pattern by taking some polygons with smaller number of…

Q: A polyhedron has 9 faces and 21 edges. How many vertices does it have ?

A: A polyhedron has 9 faces and 21 edges. F=9 and E=21. The objective is to find the number of vertices…

Q: A line segment connecting any two nonadjacent vertices of a polygon is called a diagonal of the…

Q: 5 Using the information given below, which set of triangles can not be proven similar?

A: Triangles can be proved similar by many properties such as:- (a) SSS Side Side Side ratio of…

Q: A solid in the formof a cube of edge 12 cm. is melted and formed into three smaller cubes of…

Q: 4. A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the…

Q: How many edges does a cube have?

A: A cube is a three-dimensional form of square and all the faces of a cube are square. A cube is a 3-D…

Q: A connected simple graph has five vertices (each of degree four). Into how many regions is the plane…

A: Given that A connected simple graph has five vertices each of degree four. To find The number of…

Q: A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the triangle…

Q: 39. A rectangular habitat with a 20-foot-wide nesting hutch along one side (so that fencing is not…

Q: 8. What is the area of a rectangle with vertices located at (– 1, 1), (– 1, – 4), (5, – 4) , and (5,…

A: Given vertices of rectangle (-1, 1), (-1,-4,), (5,-4), and (5,1) We know that Area of…

Q: Imagine a pyramid with a pentagon base. How many of these will it have? a. Faces b. Edges c.…

A: The pyramid have Pentagon base. The figure is

Q: 25. If a four sided polygon has 2 diagonals, how many diagonals are there in a five sided polygon?

Q: 1. Given that the yellow segments are midsegments, which set of segments are parallel?

A: We are given that yellow segments are mid-segments. Now, we need to find the segments that are…

Q: Draw a Venn diagram or other clear diagram that shows the relationships among the categories of…

A: properties of quadrilaterals: quadrilaterals is a 4 sides. it has 2 diagonals. 1) square it has 4…

Q: No, some of the vertices cross the circle, so they are not all on the circle. Yes, some of the…

A: We know that A polygon is said to be inscribed ina circle if all of the vertices of the polygon lie…

Q: A line segment connecting any two nonadjacent vertices of a polygon is called a diagonal of the…

A: The given pentagon polygon is,

Q: Consider the triangular prism shown. (a) How many vertices does it have? (b) How many edges (lateral…

Q: A polyhedron (not regular) has 10 vertices and 6 faces. How many edges does it have? edges

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

A: We solve the question by using Euler's formula F + V - E= 2, where F is the number of faces, V the…

Q: ) What attributes do all cylinders and cones have that not all three-dimensional figures have?…

A: Given that:A) All cylinders and cones B) All cylinders and all prisms

Q: Calculate the perimeter of the triangle formed by the following set of vertices. {(5, 4), (3, 6),…

Q: how many vertices does a 28-sided polygon have

A: Solution: The objective is to find how many vertices does a 28-sided polygon have.

Q: How many triangles can be made if the vertices are from three of the six points on the circle? One…

A: out of the six points on the circle.

Q: A polyhedron (not regular) has 11 vertices and 9 faces. How many edges does it have?

A: We have to find edges

Q: 2. A circle that contains all the vertices of a polygon is ? the polygon. (circumscribed about or…

A: Given that

Q: What is the relationship among the number of vertices, edges, and faces of polyhedra?

Q: 1. Ten points are randomly placed on a circle. In how many different ways can you form each…

A: We know that to form a quadrilateral we need 4 pointsIn that case we can select any 4 points out of…

Q: Quadrilateral ABCD is considered a cyclic quadrilateral because there is a circle passing through…

A: for a cyclic quadrilateral the opposite angles are supplementary in nature that means the opposite…

Q: A line segment connecting any two nonadjacent vertices of a polygon is called a diagonal of the…

A: For quadrilaterals, there are only 2 non-adjacent vertices. For example: In ABCD, A and C are…

Q: How many symmetries does a regular n-gon have? (This means an n-sided polygon, all of whose sides…

A: We find number of symmetries of triangle, square, pentagon.

Q: 18. Either find a Hamilton circut for the figure below or explain why no such circuit exists. Either…

A: Given To check the exist of Euler circuit and Hamilton circuit for a following given graph.

Q: How many diagonals does a regular 20-gon have? Note: A regular 20-gon is a polygon. It has 20 sides…

A: Topic = Geometry

Q: Calculate the perimeter of the triangle formed by the following set of vertices.…

Q: 6. How many triangles are there with vertices from the points shown below? Note, we are not allowing…

Q: How many side does a tetrahedron have ? How many number of edges which meet at a vertex does a…

Q: 2. Ten points are randomly placed on a circle. In how many different ways can you form each…

A: Given, there are 10 points in a circle. We need the number of ways in which we can form : a.…

Q: A solid is an octagonal prism. a) How many vertices does it have? b) How many lateral edges does it…

A: Given:A solid is an octagonal prism Octagonal prism has10 faces24 edges16 vertices

Q: A cube has 12 edges. A cube has pyramids cut from each corner by passing planes through the…

A: Visualize the cube, after the triangular-faced pyramids are cut-off from all the four corners of…

Q: Given the Venn diagram, shade the corresponding regions.

A: Venn diagram are used to pictorial representation of different groups. It used for easy understand…

Q: A set of tangrams consists of seven pieces that form a large square, as shown below. The pieces…

Question

subject: discrete structures

there may be several correct answers

How many leaves in quaternary tree with 133 vertices?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Tree$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Consider the information in Exercise 2, but suppose you know that the area of the region defined by the intersection of the square and the circle measures 5. What is the area of the entire colored region? 2. The area of the square is 12, and the area of the circle is 30. Does the area of the entire shaded region equal 42? Why or why not?
Consider the triangular prism shown in Exercise 2. a How many vertices does it have? b How many edges lateral edges plus base edges does it have? c How many faces lateral face plus bases does it have?
After the five pieces have been cut from the round stock in Figure 113, what is the length that is thrown away?
How many arrangements can be made from the letters of the word “mountains” if all the vowels must form a string?
A carpenter lays out boards of lengths 8 ft, 8 ft, 4 ft, and 4 ft by placing them end to end. a If these are joined at the ends to form a quadrilateral that has the 8-ft pieces connected in over, what type of quadrilateral is formed? b If these are joined at the ends to form a quadrilateral that has the 4-ft and 8-ft pieces alternating, what type of quadrilateral is formed?
4. How many polygons can be possibly made from 6 distinct points on a plane, no three of which are collinear?
use euler's theorem to find the value of n a.faces:10 verticles:15 edges:n b.faces:n verticles:14 edges:20
27. How many triangles can be drawn on a palne using 8 non- collinear points?
Use Euler’s Formula to find the missing number of faces, edges, and vertices a) Faces = ?, Edges = 12, Vertices = 8 b) Faces = 9, Edges = ?, Vertices = 14 c) Faces = 10, Edges = 18, Vertices = ?
If a polygon of n sides has 1/2n(n - 3) diagonals, how many sides will a polygon with 65 diagonals have? Is there a polygon with 80 diagonals?
1. A student club in a computer science department can be created with 11 first-year students, 7 second-year students, 7 third-year students, or 5 final-year students. What is the minimum number of students from a department that must be chosen to form a student club? 2. Given an equilateral triangle with a side length of 1 cm, how many distinct points must exist within the triangle so that there are at least two points that are less than.5 cm apart?
With a short time remaining in the day, a delivery driver has time to make deliveries at 5 locations among the 9locations remaining. How many different routes are possible?