A universal set U with 156 elements has been partitioned into three subsets, A, B, and C. If B is 5 times the size of A and C is 4 times the size of B, then how many elements are in B? (A) 7 (В) 30 (C) 36 (D) 120 (E) 156 (F) 5 (G) 31 (Н) 6

A universal set U with 156 elements has been partitioned into three subsets, A, B, and C. If B is 5 times the size of A and C is 4 times the size of B, then how many elements are in B? (A) 7 (В) 30 (C) 36 (D) 120 (E) 156 (F) 5 (G) 31 (Н) 6

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: In a certain country, area codes have four digits and are subject to the following restrictions. The…

Q: how many ways can you choose 3 pieces from the 4 kings and queens (black kinh, white king, black…

A: From the given condition we need to choose 3 pieces from the 4 kings and queens to place on 3…

Q: 3- From a group of 5 women and 7 men, how many đifferent coMmittees consisting of 2 Women and 3 men…

A: Given: n(women) = 5 n(men) = 7 n(women chosen) = 2 n(men chosen) = 3

Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

Q: A shop sells roses in 3 colours (red, white, yellow) and orchids in 4 colours (white, purple, blue,…

Q: How many different committees of 6 can be selected from 12 seniors and 20 juniors if the committee…

A: Given: Number of seniors (s)=12number of juniors (j)=20number of committee members(n)=6

Q: The table lists the number of deaths (in thousands) in a certain country during a particular year…

A: The table shows the number of deaths in a certain county during a particular year according to race…

Q: A computer system uses passwords that have six characters, and each character is one of the 26…

A: It is given that the first character has to be a Letter Digits : 0,1,2,3,4,5,6,7,8,9 : 10…

Q: A dinner club has 30 members. At a particular dinner, every club member gets to order exactly 3…

A: There are total 30 members, and each member gets to order exactly 3 different items. Thus, the total…

Q: A class contains 9 men and 3 women. Find the number of ways a teacher can select a committee of 4…

A: (a) There are totally 12 students in a class out of which 9 are men, and 3 are women. The number of…

Q: How many different 4 digit numbers can be formed using only the digits 3, 5, 7 and/or 9, if each…

A: It is required to find the number of different 4 digit numbers that can be formed using only the…

Q: There are 16 cubic plastic blocks, each one a different color from the others. How many ways are…

A: There are 16 cubic plastic blocks, each one a different color from the other.

Q: a) How many different ways can you arrange 11 dogs and 4 cats in a circle? (b) How many different…

A: Given that Number of dogs equal to 11 and number of cats equal to 4. Total=11+4=15

Q: . How many ways are there to choose the members on the education group?

A: Given: 5 Republicans 4 democrats 3 members is to be formed with atleast 1 Republican.

Q: How many six-person lineups can be formed from a 10-player volleyball roster? (Every player plays…

A: There are 6 places that has to be filled by 10 players and any player can choose any position.

Q: The table lists the number of head and neck injuries for 643 ice hockey players wearing either a…

A: The question is about events Given : Total no. of players ( N ) = 643 To find : a ) C ∩ F…

Q: How many three-letter "words" can be made from 7 letters "FGHIJKL" if repetition of letters (a) is…

A: It is given that there are 7 letters available in “FGHIJKL”. a). Since, the repetition of letters…

Q: There are 20 employees in Mazaya college for four different Positions. How many different ways that…

A: In combination rule the order of the arrangements does not matter. Whereas, in permutation, the…

Q: Assume that you select digits from the set {1,2,3,4,5,7,8} to form a number between 10 and 800. (1)…

A: given set of digits is {1,2,3,4,5,7,8} and the range of numbers is 10 to 800. There would be 2…

Q: . There are 122 ways to send 5 different gift boxes into 3 indistinguishable houses (each house can…

A: To determine whether the given statement is true or false.

Q: How many different committees of 6 con be formed trom 12 boys f 8 girls it each committee is…

Q: Find the number of permutations using four different numbers (2,5,11,30) if they are taken 2 at a…

A: Given that, Four different numbers are (2,5,11,30) To find: Number of permutations using four…

Q: A trade union asks its members to select 4 people, from a slate of 9, to serve as representatives at…

A: Given : A trade union asks its members to select 4 people from slate of 9. To find : How many…

Q: Show how to use the definition of LCM to deter- mine the least common multiple of 44 and 55.

A: Given, Using definition of LCM find LCM of 44 and 55

Q: Suppose you have ten blocks with the letter A, A, C, E, E, E, R, S, S, and T. How many ways can we…

A: 10 blocks with letters : A, A, C, E, E, E, R, S, S, TNumber of ways to order all 10 blocks = ?

Q: Determine the number of combinations that can be formed with 11 objects taken 7 at a time

Q: Consider the 7 letters A, B, D, E, F, G and O. How many 3-letter words can be formed from the 7…

A: Hi, thanks for posting the question. Since there is more than one question posted. We will answer…

Q: Out of 800 families with 5 children each how many would you expec to have i) 3 boys (ii ) either 2…

A: Given: Total number of families=800Number of children=n=5

Q: how many subsets does {8,9,10,11,12,14,15,16} have?

A: Using

Q: Q3/ How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 such…

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit…

A: Given,digits is 0,1,2,3,5,7,8,9

Q: In how many distinct orders can the sweaters be arranged if two sweaters of the same color are…

A: HERE GIVEN , A sales assistant is hanging 11 sweaters on a rack. He has 5 green sweaters, 3 pink…

Q: Assume that the color of each block matters.

A: There are 16 cubic blocks, each one a different color from the others.

Q: How many elements are in the set {2,2,2,2}

A: We have to find number of elements

Question

A universal set U with 156 elements has been partitioned into three subsets, A, B,
and C. If B is 5 times the size of A and C is 4 times the size of B, then how many
elements are in B?
(A) 7
(В) 30
(С) 36
(D) 120
(E) 156
(F) 5
(G) 31
(Н) 6

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Relations$

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

at one point, license plates in a certain state consisted of 3 letters (excluding I, O, Q, and W), followed by 2 numbers. Complete parts (a) through (e) below
Suppose that there is a bag containing 6 marbles. How many ways can you draw 4 marbles from the bag if you assume that the order in which you retrieve the marbles DOES matter?
How can we find out how many 6 digit numbers are there if not allowed and how many 5 element subsets does a,b,c,d,e,f,g,h,i,j have?
How many different arrangements of 3 letters can be formed if the first letter must be W or K (repeats of letters are allowed)?
How many four digit codes can be made out of the digits 0,2,4and 8 if the repetition of digits is not allowed?
Can tic-tac-toe be completed (5 ones and 4 zeros in A) so that rank (A) = 2 but neither side passed up a winning move?
Bob owns 7 different books. He wants to arrange all of these books left-to-right on a single bookshelf. How many distinguishable ways can Bob do this?
select three (3) coins, but assume that there are 5 dimes, 4 nickels, and 2 quarters.In how many possible ways can the selection be made so that the value of the coins is at least 25 cents?
A committee of 5 students are to be chosen from 25 CS majors and 15 Math majors. How many of these possible committees have exactly 3 CS and 2 Math majors?
How many ways are there in choosing (55+1) face mask from a box of (55+3) face masks?
In a bag, there are 11 purple and 7 green marbles. If you reach in and randomly choose 4 marbles, without replacement, in how many ways can you choose exactly one purple? nothing ways
If the chair of a math department has to appoint a committee of 4 professors from among the 10 professors in the department, how many different possibilities are there for the composition of the committee?