Answered: In a group of 6 boys and 4 girls, four…

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? a.) 159 b.) 194 c.) 205 d.) 209

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter3: Triangles

Section3.CR: Review Exercises

Problem 13CR

See similar textbooks

Related questions

Q: Given A⋂B = {s, z, u} and A⋂C = {s, z, u, m, n} .Find how many elements the set A⋂ (CUB) has?

A: We know that A⋂ (CUB)= (A⋂B)U A⋂C

Q: Given A,B and C required to prove that A\(B\C)=(A\B)U(A∩B∩C)

A: Given A, B, C are any three sets We have to prove A\(B\C)=(A\B)U(A∩B∩C) Let X be unversal set…

Q: S Tennis Soccer 11 5 9 30

Q: Given two sets A and B, prove that the condition ACB is equivalent to the condition A N B = A.

A: We will solve the following.

Q: (Assume that in a university with 1000 students. 200 students are taking a course in mathematics,…

Q: Consider a string consisting of a's, b's, and c's, where the number of b's is three times the number…

Q: If p(A) =, p(B) = and p(A and B) =;, are A and B independent?

A: Given,P(A)=12P(B)=310P(A∩B)=45

Q: (5) If possible, give an example af each af foll o ing la) Sets A,B and c Snch that As B, B$ C A CC.

A: Here we have to solve 5(a) and 5(b) We have to give an example about the given condition.

Q: Prove that if r <s < n, then P(n , s) is divisible by P(n,r).

A: Given: r≤s≤n Therefore, n-r≥n-s So we can write n-r! = n-rn-r-1n-r-2...n-sn-s-1n-s-2...1 n-r! =…

Q: Prove if a,b > 0 then : a+b>1, to aª + bª 1 > 8

Q: Given the sets of A = (1,2,3,4,5,6,7,8) , B = (5,6,9,12,11,15,21) and C = {3, 4,5, 8, ,9,10, 13).…

Q: Given the sets A = {5,6, 7}, B= {0, 1, 2, 3, ...}, and C {4, 5, 6}, tell which of the following…

A: Given the sets A=5, 6, 7B=0, 1, 2, 3, ...C=4, 5, 6 We shall check the correctness of statements a,…

Q: Use the Venn diagram and the given conditions to determine the number of elements in each region, or…

Q: In general, to represent a catégóričal predicte categories, seU ieun

A: Given that To represent a categorical predictor variable that has n possible categories. Possible…

Q: In a class of 25 students, 17 drink tea, 11 drink coffee and 5 students drink neither. a. Draw a…

A: We have to first draw the corresponding Venn Diagram.

Q: A How many paths are there from A to C?

Q: 3.3. Let a, BEC. Prove that la + B2 + la – B|2 2(la|? + |B|?), and deduce that |a + Va? – B2|+ |la –…

Q: Fill in the Venn Diagram below by dragging the appropriate entry to the orrect location given that:…

A: Explanation of the answer is as follows

Q: Prove that if n divides a, b, and c, then n³ divides a²(b – c) + b² (a – c) +²(b – a).

A: A product is a multiplication of two or more terms and these terms are called the factors of the…

Q: Assume that AA and BB are disjoint subsets of UU, and that n(U)=55n(U)=55, n(A)=23n(A)=23, and…

Q: A class of 120 students were asked to indicate which of the three meals: Rice, Spaghetti and Pizza…

Q: Given hasse dia goram is The list of all ordered paing in the tantiel edering Ps odering is,…

Q: Given: AABC with A(1,6), B(5,4), C(5, –2) Prove: The circumcenter of AABC is E( 1, 1 )

A: This question is related to triangle.

Q: Let z-2 z-2 n st pC& >0.5)20.9 and y:bin (n,o.38), find or

A: Y~Binomialn, 0.38 Compute the mean and the standard deviation of Y using the formulae: Y=np…

Q: Let A = {July, John, James, Jared, Jeffrey, Jelly}, B = {John, Jelly, Jared}, and C = {Sally, Solly,…

A: Relation question

Q: Let p, q,r E K be given with p an

A: Given, p, q, r∈K be given with p and q not both zero. To prove that the set of allxy∈∏ satisfying…

Q: Let A = {raisin, prune, lemon, pear}, B = {lime, cantaloupe, orange}, and C = {lemon, berry, peach,…

A: Given sets are A=raisin, prune, lemon, pearB=lime, cantaloupe, orangeC=lemon, berry, peach,…

Q: Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} %3D B = {1, 3, 5, 7} How…

Q: 2. Find Ju x v| and determine whether u x v is directed into the page or out of the page. |v|= 5 45°…

Q: In ∆KPV,RS||KP. a. If KV = 6, VR= 2, and PV=12, then VS = b. If KV = 30, KR = 6, AND PV = 50, then…

A: Given that: RS||KP NOTE: As per our answering guidelines, we can only answer 1…

Q: O Ho: H Diff = 0; H, H O Ho: H Diff = 0; H, H Diff >0 O Ho: Holder =H Youngeri Hai Holder>HYounger O…

A: Given : An equestrian enthusiast is interested in the racing times of horses. She believes an older…

Q: v 26. Show that if a < c < b, then C-a b favg [a, b] = b favg [a, c] + b favg [C, b] a |

Q: If a, b, c are in A.P., then prove that ao +C), b(c +a), c(a + b) ab are also in A.P. bc са

A: arithmatic sequence prove , a, b,c are in A.P then prove

Q: ute P(

Q: According to a recent survey of first-year high school students, 28% chew gum daily. The students…

A: Introduction: Since 28% or 0.28 proportion of the first-year high school students chew gum daily, P…

Q: Suppose n(ANB) = 3, n(AUB) = 36, and n(A) = 14. Use a Venn diagram to determine n(B). B n(B) =

Q: If P(A | B) = 0.3, compute P(A and B).

Q: Given the sets A={1,2,3,4,5), B={2,3,7,8}, C=(1,9): (a) Compute C\(AUB) (b) Is it true that (Bn C) C…

A: Given that,

Q: Which set of given information does not prove ACAM ACOM? O ZMCA EZMCO, ZCAM2 ZCOM O AC OC, ZACM E…

A: Given

Q: Let A, B, and C be three sets. If A⊕C=B⊕C, show that A=B

A: Solution : Given that A,B and C are three sets. And the Direct sum of set A and C is equals to…

Q: If A has 4 elements and B has 4elements, then the number of possible relations from A to B is O 24.…

Q: Which of the following sets is open in (IR, Tu)? OR-(Q-Z) (1)"2n? nin?:nE N} R - [2,5) O 12, 5) U…

Q: ven that n(U) = 50, n(A) = 25, n(B) = 22, and n(A U B)' = 13, a) Find n(A (Intersect) B) b) Draw…

A: First we have to find n(AnB): Given that, n(U)=50 n(A)=25 n(B)=22 n(AUB)'=13

Q: Suppose that P(A)=0.3, P(B)=0.2, and P(C)=0.1. Further, P(AUB)=0.44, P(A^cC)=0.07, P(BC)=0.02, and…

A: Given : P(A) = 0.3, P(B) = 0.2, and P(C) = 0.1 P(A U B) = 0.44, P(A^c C) = 0.07, P(BC) = 0.02, and…

Q: Ime the Conv senes, UI de that he test ddes Tiot apply. 00 2 ke - 3k2 k = 1

Q: Let A={peach, kiwi, tomato, raisin}, B={lemon, watermelon}, and C {tomato, lemon, pear,…

A: Let A and B be two sets . 1.) n( A∪B)=nA+n(B)-n(A∩B) 2.) n(A∪B)= n(A-B)+n(A∩B)+ n…

Q: Let n=23 and consider the following information, Model One: Y = Bo + B1X1 + B2X2 + B3X3 + B,X4 +e…

A: Solution: Given information: n= 23 observation: k= 3 independent variable R2=0.8685

Q: ← A poll asked respondents if they agreed with the statement that colleges should reserve a certain…

Q: the men anc nat t a nersor

Q: Given 5 persons, namely A, B, C, D, and E, are to be seated on 5 chairs arranged side by side in a…

A: Given 5 persons, namely A,B,C,D and E are to be seated on 5 chairs arranged side by side in a…

Question

100%

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? a.) 159 b.) 194 c.) 205 d.) 209

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

$Vector Addition and Scalar Multiplication$

Learn more about

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

Similar questions

Given: In O,OCABand OC=6 Find: a AB b BC Exercise 15
If the drawing, HJKFGK. If HK=6,KF=8, and FG=5, find HJ.
In Exercises 25 to 32, name the type of reasoning if any used. While judging a science fair project, Mr. Cange finds that each of the first 5 projects is outstanding and concludes that all 10 will be outstanding.
If a=p2q2,b=2pq and c=p2+q2, show that c2=a2+b2.
In Review Exercises 7 and 8, state the hypothesis and conclusion for each statement. The diagonals of a parallelogram are congruent if the parallelogram is a rectangle.
In ABC, M and N are midpoints of AC and BC, respectively. If MN=7.65, how long is AB?
In Exercises 25 to 32, name the type of reasoning if any used. While participating in an Easter egg hunt, Sarah notices that each of the seven eggs she has found is numbered. Sarah concludes that all eggs used for the hunt are numbered.
In Exercises 55 and 56, P is a true statement, while Q and R are false statements. Classify each of the following statements as true or false. a PandQorR b PorQandR
In Review Exercises 4 to 6, name the type of reasoning illustrated. Laura is away at camp. On the first day, her mother brings her additional clothing. On the second day, her mother brings her another pair of shoes. On the third day, her mother brings her cookies. Laura concludes that her mother will bring her something on the fourth day.
In Exercises 25 to 32, name the type of reasoning if any used. You walk into your geometry class, look at the teacher, and conclude that you will have quiz today.
In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: SRSVRTVT Prove: RSTVST
In triangle ABC, line t is drawn through vertex A in such a way that tBC. aWhich pairs of s are ? bWhat is the sum of m1, m4, and m5 ? cWhat is the sum of measures of the s of ABC ?