If there are three ways of going from point A to point B and two ways of going from point B to point C, how many ways can we go from A to B to C?

Q: How many pathways are there from A to B assuming you can only travel South and East? A

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.   How many ways…

A: topic -  permutation and combination

Q: The Blind Men and the Elephant is a famous Indian fable that tells the story of six blind sojourners…

A: Given : A student who learns mathematics is isomorphic to the story above. For example a student who…

Q: Assume you are walking from CUNY Graduate Center at 34th Street and 5th Ave to Columbus Circle at…

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Q: There are 7 roads from Silang to Dasma, 5 roads from Dasma to Imus, and 4 roads from Imus to Bacoor.…

A: Given to us that; 7 roads from Silang to Dasma 5 roads from Dasma to Imus 4 roads from Imus to…

Q: In a class of 130 SHS students, 41 offers agricultural science, 62 offers business and 31 offers…

A: 1.     Only A is 41-16=25 Only B is 62-16-14=32 Only V is 31-14=17   Venn diagram-

Q: Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building.…

A: There are 3 types of places to visit.He can pick any 2 tours from 3 tours in 3P2=6 ways.He can pick…

Q: If one must always move upward or to the right on the grid shown below, how many paths are there…

A: Rectangular grid between Point A and B is of ( row × column )= ( 4×2 )

Q: And I witnessed to a crime said that the license plate of the getaway car began with the letters T,…

A: Given the letters T, B, and E, but he cannot remember the order. The rest of the plate had the…

Q: A is two years old older than B who is twice as old as C. If the total of ages of A, B, & C be 27,…

A: Let the age of C  be x . Then B's age and A's age are 2x and x respectively.Then formulate an…

Q: Each student at State College has a student I.D. number consisting of seven digits (the first digit…

A: no.of digits ( 0 to 9)=10no.of letters(A,B,C,D,E)=5

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

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Q: A rectanglular table seats 6 people; I person on each end and 2 on each of the longer sides. Thus,…

A: Six people can sit in a rectangular table with two people on the shorter side and four people on the…

Q: under what condition is (AB)^-1=A^-1B^-1

A: You didn't mentioned about A and B.    Taking A and B as square matrix.  Here, A-1 and B-1 will also…

Q: how many ways can a robot travel if it starts at the origin and goes to the point (-3,6) if he can…

A: Permutation combination question

Q: There are 4 major roads from city x to city y and 3 major roads from city y to coty z. How many…

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Q: A class of 50 students opens two vacant positions for the potential president and a treasurer. How…

A: The question is based on permutation. We will use the following formula for solving the problem.…

Q: Each student at State College has a student I.D. number consisting of 5 digits (the first digit is…

A: Given: Student ID consists of 5 digits and 3 letters. It means that total characters in student ID…

Q: How many of the angles on all the faces of a prism could be right angles in a quadrilateral prism?…

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Q: Suppose there are four routes from North Point to Boulder Creek, three routes from Boulder Creek to…

A: there are 4 routes from North Point to Boulder Creek there are 3 routes from Boulder Creek to Beaver…

Q: 6. Number of ways a person can travel from A to C via B, if there are 3 routes from A to B and 5…

A: Let there are 3 places A, B and C. And given that there are 3 routes from A to B. And 5 routes from…

Q: If we take a golden rectangle which has base equal to φ and height equal to 1, and we subdivide that…

A: Given: Height and base of rectangle are 1 unit and φ unit.   To find: Dimension of smaller rectangle…

Q: Given n ≥ 3 circles on the plane, satisfying . Each two circles intersect at exactly 2 points; . No…

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Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: This is a counting problem.. we will solve it using the approach of dynamic programming

Q: If one must always move yp,or to the rignt, how many paths from A to B A

A: According to given, Let the number of right steps be x= 3 Let the number of up steps be y= 3…

Q: Ship A is then sailing due north at 15 km/h, and ship B is sailing due west at 20 km/h. If these two…

A: Given data: ship A is 50 km due west of another ship B. Ship A is sailing due north at 15 km/h, and…

Q: Given n ≥ 3 circles on the plane, satisfying • Each two circles intersect at exactly 2 points; . No…

A: Given: for n≥3 circles on the plane, every two circles intersect at exactly two points and No three…

Q: Researchers presented chimpanzee subjects with food outside their cage that they could bring within…

A: As per guidelines we will solve first question only, please repost other questions for more answers.…

Q: There is a law made that every man that keeps sheep shall for every 10 sheep, sow one acre of ground…

A: Let the number of sheep he shall keep is 'x'. Given that for every 10 sheep, every man has to sow…

Q: If the ratio of boys to girls in a class is 2 to 7, will the ratio of boys to girls stay the same,…

A: The explanation are as follows

Q: If one must always move if or to the PR Fignt, how many paths from A to B A.

A: Use the counting method to find the total number of paths from A to B by first moving up and then…

Q: If Alice is tall, Bob is taller than her, and Carol is taller than both of them, then Carol is tall.

A: Given that Bob is taller than Alice, So Bob>Alice    (1) Carol is taller that Alice and Bob. It…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 3…

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Q: A pin tumbler lock has a series of​ pins, each of which must be positioned at the proper height to…

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

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Q: Suppose we want to choose 5 objects, without replacement, from 14 distinct objects. (If necessary,…

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Q: If Thrasymachus is a guide to Socrates, then Socrates is foolish. Either Socrates is wise or…

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Q: In a class of 50 students, 37 passed in French and 28 passed in English. 15 pupils passed I French…

A: In the class of 50 students, 37 passed in French and 28 passed in English. 15 pupils passed In…

Q: 9. Is it possible to take a walk around the city whose map is shown below, starting and ending at…

A: We have to find a path which is starts and ends at the same point.

Q: There are 7 roads from Silang to Dasma, 5 roads from Dasma to Imus, and 4 roads from Imus to Bacoor.…

A:

Q: A woman wants to get to two destinations, A and B. From home to A there are 7 possible routes. From…

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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: 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: Solve the following: 11)  A committee of 6 officials is to be chosen from 8 men and 7 women. If the…

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Q: With a short time remaining in the day, a delivery driver has time to make deliveries to 6 different…

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Q: There are 3 ways to get from Town A to Town B, 4 ways to get from Town B to Town C, and another 5…

A: There are 3 ways to get from Town A to Town B. 4 ways to get from Town B to Town C. and another 5…

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

A: Solution: The pascal's triangle is

Q: two possible routes,

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Q: You need to take a trip by car to another town that you have never visited before. Therefore, you…

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Q: For a survey of 120 law school students, it was found that: 60 took probate law, 90 took criminal…

A: 34 students took exactly one of the courses.   The detailed solution is as follows below: