Explanation 1) Approach: Systematic counting is the simplest way in which we count a set to list all possibilities. 2) Calculation: Given, The street map From the above street map, we have a 3 × 3 grid in which we need three moves towards down and three moves towards right for to reach S and D. Thus, we have 3 moves towards right of the total 6 moves. Now, the number of ways to reach S and D is given by = C ( 6 , 3 ) = 6 ! 3 ! ( 6 − 3 ) ! = 6 ! 3 ! ⋅ 3 ! = 6 ⋅ 5 ⋅ 4 ⋅ 3 ! 3 ! ⋅ 3 ! = 6 ⋅ 5 ⋅ 4 3 ⋅ 2 ⋅ 1 = 20 ways

6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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Chapter 12.CR, Problem 7CR

To determine

To find:

The number of direct routes from D to F passing through S.

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i) Consider the set S = {−6, −3, 0, 3, 6}. Draw a graph G whose set of verti- ces be S and such that for i, j ∈ S, ij ∈ E(G) if ij are related to a rule that t'u you choose to apply to i and j. (ii) A graph G of order 12 has as a set of vertices c1, c2, . . . , c12 for the do- ce configurations of figure 1. A movement on said board corresponds to moving a coin to an unoccupied square using the following two rules: 1. the gold coin can move only horizontally or diagonally, 2. the silver coin can move only vertically or diagonally. Two vertices ci, cj, i̸ = j are adjacent if it is possible to move ci to cj in a single movement. a) What vertices are adjacent to c1 in G? b) Draw the subgraph induced by {c2, c6, c9, c11}

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he following contingency table details the sex and age distribution of the patients currently registered at a family physician's medical practice. If the doctor sees 17 patients per day, use the binomial formula and the information contained in the table to answer the question: SEX AGE Under 20 20-39 40-59 60-79 80 or over TOTAL Male 5.6% 12.8% 18.4% 14.4% 3.6% 54.8% Female 2.8% 9.6% 13.2% 10.4% 9.2% 45.2% TOTAL 8.4% 22.4% 31.6% 24.8% 12.8% 100.0% if the doctor sees 6 male patients in a day, what is the probability that at most half of them are aged under 39?

Chapter 12 Solutions

Mathematics All Around (6th Edition)

Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - Prob. 5E Ch. 12.1 - Prob. 6E Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E Ch. 12.1 - How many different two-digit numbers can you form...Ch. 12.1 - How many different two-digit numbers can you form...

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