Nature of Mathematics (MindTap Course List)
13th Edition
ISBN: 9781133947257
Author: karl J. smith
Publisher: Cengage Learning
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Question
Chapter 2.3, Problem 26PS
To determine
To draw:
The Venn diagram for the relationship
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1.6
John likes Joan, Jean and Jane; Joe likes Jane and Joan; Jean and Joan like each other.
Draw a digraph illustrating these relationships between John, Joan, Jean, Jane and Joe.
3. In how many ways can this diagram be coloured subject to the following
two conditions?
(i.) Each of the smaller triangle is to be painted with one of the three
colours: White, black or blue.
(ii.) No two adjacent regions have the same colour.
If "C, = "C,, then n is equal to
4.
If "P, = 840, "C, = 35, then r = ,
5.
1SC, + 1$C, - 1C, - "C, =
6.
In a school of 450 students,120 students are in DECA, 270 students are on sports teams, and 75 students participate in both activities. It may be helpful to create a Venn Diagram for this problem.
How many students do not participate in any activity?
A. 135B. 75C. 315D. 450
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- What relationship subset, intersect, disjoint, or equivalent can be used to characterize the two shown in the Venn Diagram?arrow_forwardA. 240B. 315C. 390D. 420arrow_forwardBob is Phil’s father. Jack is Phil’s only brother. Tina is Phil’s sister-in-law. Phil is not married. Mary is Tina’s mother-in-law. John is Jack’s son. What relation is John to Mary? What relation is Tina to Bob?arrow_forward
- In a school of 450 students,120 students are in DECA, 270 students are on sports teams, and 75 students participate in both activities. It may be helpful to create a Venn Diagram for this problem. How many students are not in DECA? A. 75B. 135C. 330D. 450arrow_forward17. Use a Venn diagram to illustrate the relationships AC B and B C C.arrow_forward3. In how many ways can this diagram be coloured subject to the following two conditions? (i.) Each of the smaller triangle is to be painted with one of the three colours: White, black or blue. (ii.) No two adjacent regions have the same colour. If "C,, = "C,, then n is equal to %3D 4. If "P, = 840, "C, = 35, then r = 5. "C, + "C, - l"C,- l°C, = 6.arrow_forward
- find B – A.arrow_forward. List all three-person groups that can be formed from individuals: Jenni, Minttu, Jaana, Kari, Pekka.arrow_forwardEx.10. There are six children playing football namely A, B, C, D, E, and F, A and E are brothers. F is the sister of E. C is the only son of A's uncle. B and D are the daughters of the brother of C's father (who is other than A's father). 1. How is C related to F? (a) Cousin (b) Brother (c) Son (d) Uncle (e) None 2. How many male players are there? (a) One (b) Three (c) Five (d) Six (e) Four 3. How many female players are there? (a) Two (b) Three (c) Five (d) One (e) Four How is D related to A? (a) Uncle 4. (b) brother (c) Niece (d) Cousinarrow_forward
- A large bakery has many different products for sale. Suppose that 200 come in between 6am and 10am. Of the 200 customers 140 order donuts, 100 order cinnamon rolls, and 80 order both. Make a Venn Diagram to model the situation.arrow_forward3. Let A = {Paul, Perry, Patrick, Penn, Peyton}, B = {Perry, Penn, Peyton} and C = {Jeff, Janet, Jackson, Penn}. Find A U (B n C).arrow_forward2. In a freshman class of 60 students, there are 30 who enjoy dancing, 10 who enjoy acting, 39 who enjoy singing. There are 15 students who enjoy both dancing and singing, 5 who enjoy both dancing and acting, 20 who enjoy singing only and not dancing nor acting. Only four students enjoy dancing, singing and acting. Give the exact values for the following questions and show your solution. Let =set of all freshmen, D=set of freshmen who enjoy dancing, A=set of freshmen who enjoy acting, S=set of freshmen who enjoy singing. For each item below, express the set whose cardinal no. is needed in terms of the sets D, A and S. a) How many students enjoy both acting and singing? b) How many students enjoy acting or enjoy singing? c) How many students enjoy dancing and singing but not acting? d) How many students enjoy dancing only?arrow_forward
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