Assume there are 3 ways to get from point A to B and 5 ways to get from B to C. How many possible ways are there to get from A to C through the path of B?

Q: what are the coordinates on the directed line segment from (-7, -9) to (-2,-4) that partitions the…

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Q: How many lattice paths start at (3,3) and end at (10,10)? end at (10,10) and pass through (5,7)?…

A: In a lattice paththe only movements allowed are 0,1 and 1,0 which are one step north and one step…

Q: What are the coordinates of the point on the directed line segment from (-6, –3) to (-1,7) that…

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Q: How many shortest lattice paths start at (5, 5) and b. end at (14, 14) and pass through (8, 12)? c.…

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Q: How many trees are there with n vertices that are a simple path"?

A: The complete solutions are given below

Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: Given; There 10 points in a plane such that no three points are collinear

Q: In a certain city, there are five streets going north-south and six streets going east-west. How…

A: It is given that, there are five streats going north-south and six streets going east west.

Q: How many cut vertices does the path Pn has for n ≥ 1?

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Q: How many shortest lattice paths start at (5, 5) and a end at (14, 14)? b. end at (14, 14) and pass…

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Q: What are the coordinates of the point on the directed line segment from (-4, 10)(−4,10) to (5,…

A: The coordinates of the line segment are (-4, 10) and (5,1). We need to find the coordinate of that…

Q: What is the best sequential approach to teaching students how to write proofs about parallel lines

A: There are different pairs of angles like vertically opposite angles, corresponding angles, interior…

Q: What are the coordinates of the point on the directed line segment from (–1,9) to (3, –7) that…

A: According to question given thatLine segment from (-1,9) to (3,-7) that partitions the segment into…

Q: What is the number of pathways of getting from A to C travelling along grid lines and moving only to…

A: Given pathway Either we move to right or move up. The number of right moves needed to reach to…

Q: In how many ways can one walk from A to B by taking the shortest possible path along the grids?

A: In this case, we are able to move up or right. From the diagram we can move 4 rights, and 5 ups'.

Q: Construct a preimage with vertices at (-7, 7), (-9, 3), (-3, 7), and (-5, 3). Create an image by…

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Q: Calculate the number of paths of length 10 starting at the vertex 1. How many of these paths end at…

A: We will use the fact that if A is the adjacency matrix of a graph .Then the number of paths of…

Q: How many shortest lattice paths start at (4, 4) and a. end at (15, 15)? b. end at (15, 15) and pass…

A: How many lattice path start at (4,4) and at (15,15)  nCr=n!(n-r)!.r! Shortest path from (4,4) to…

Q: What are the coordinates of the point on the directed line segment from (3,-3) to (7,5) that…

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Q: What are the coordinates of the point on the directed line segment from (1, -5) to (10, 1) that…

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Q: What are the coordinates of the point on the directed line segment from (–10, –3) to (-3, –3) that…

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Q: What are the coordinates of the point on the directed line segment from (4, –3) to (9, –8) that…

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Q: What are the coordinates of the point on the directed line segment from (-10, 4)(−10,4) to (-5,…

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Q: Find the point 2/3 of the way from (−6, 6, 5) to (−8, −8, −5). P=(??,?)

A: Here we have to find the point 2/3 of the way from (-6,6,5) to (-8,-8,-5).

Q: Of all lattice paths from (0,0) to (9, 5) that only move up and to the right, how many: avoid the…

A: Consider a rectangular grid of 5 rows and 9 Column. We need to find the number of lattice path from…

Q: What is the Pru fer code for a simple path whose vertices are numbered in increasing order (i.e., 1…

A: The complete solutions are given below

Q: The set of North-East lattice paths start from (0,0), end at (n-k, n+k), and they do not go below…

A: Given below clear explanation

Q: What are the coordinates of the point on the directed line segment from (4, 3) to (9, 8) that…

A: Our Aim is to find the coordinates of the point on the directed line segmentfrom (4,3) to (9,8) that…

Q: What are the coordinates of the point on the directed line segment from (3, 3) to (7,-5) that…

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Q: what are the coordinates of the point on the directed line segment 4, -1 to 18,8 that partitions the…

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Q: If there are three ways of going from point A to point B and two ways of going from point B to point…

A: We are authorized to solve only 1 question, please repost remaining questions Permutation and…

Q: What are the coordinates of the point on the directed line segment from (-5,8) to (-1,-8) that…

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Q: Assume that a circular pizza is being cut into pieces. If there are C cuts and I points of…

A: It is a counting problem .

Q: What are the coordinates of the point on the directed line segment from (4, 3) to (9,8) that…

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Q: How many shortest lattice paths start at (2, 2) and a. end at (10, 10)? b. end at (10, 10) and pass…

A: Note: As per our guidelines, we are supposed to answer only 3subparts and rest can be reposted.…

Q: How many lattice paths start at (3,3) and (a) end at (10,10)? (b) end at (10,10) and pass through…

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Q: What are the coordinates of the point on the directed line segment from (1, – 5) to (10, 1) that…

A: The given coordinates of the line segment are 1, -5 and 10, 1. The required point divides the…

Q: What are the coordinates of the point on the directed line segment from (-7, -9)(−7,−9) to (-5,…

A: We have to find the coordinates of the point on the directed line segment from (-7, -9) to (-5, 7)…

Q: Find the length of a path from P;(4, 0°, 0) to P¿(4, 30°, 0).

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Q: how many shortest lattice paths start at (4,4) and a. ends at (11, 11) b. end at (11, 11) and pass…

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Q: What are the coordinates of the point on the directed line segment from (−10,−3)to (−10,−3)that…

A: It is known that the point C that divides a line segment in the ration m:n will be of the form…

Q: How many shortest lattice paths start at (4, 4) and a. end at (15, 15)? 705432 b. end at (15, 15)…

A: Finding the number of  shortest latttice paths between (4,4) and (15, 15)

Q: Determine the number of paths from A to B if you can only move East and South. A B

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Q: What are the coordinates of the point on the directed line segment from (3, -1)(3,−1) to (9, 8)(9,8)…

A: We have to find the coordinates of the point R which divides PQ in the ratio 1 : 2, where P=(3, -1)…

Q: Find the length of a path from P(4, 0°, 0) to P;(4, 30°, 0).

A: To find length we need to find point in Cartesian co ordinate system then apply distance formula of…

Q: What are the coordinates of the point on the directed line segment from (-3, -9)(−3,−9) to (4,…

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Q: t the path (6,0, 0) to (6, 0, 2), to (6,5, 2) back to (6, 0,0).

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Q: How many different paths are there that reach from the top to exit 5?

A: Solution: The pascal's triangle is

Q: How many shortest lattice paths start at (4,4) and end at (13,13)?

A: We can calculate the shortest path of lattice by method of  combination

Q: How many shortest lattice paths start at (5,5) and a. end at (10, 10)? b. end at (10, 10) and pass…

A: Solution :-

Q: Determine the number of ways in which the vertices of an equilateraltriangle can be colored with…

A: For each vertex, we have 5 choices of colors There are 3 vertices So total number of ways to color…