If in a convention, 53 people liked coffee A, 52 people liked coffee b, 42 people liked the coffee c, of whom 30 liked both A and B, 17 liked both B and C, 25 liked both A and C, and 10 liked all three, 15 did not like any, how many people in the convention were asked? Show solution

Q: Both of my friends Abu and Deps will be part of the group? Only one of them will be part of the…

A: Here use combination for given problems

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A:

Q: guidance counselor is planning schedule for 30 students. Sixteen students say they want to take…

A: As per our guidelines,w e are allowed to answer first three sub-parts only. thanks Given : F = 16…

Q: Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be…

A: a) If each is to receive a $20 gift certificate to a restaurant then the arrangement does not…

Q: Suppose you are taking a bus trip from your home in Florida to California. There are seven different…

A: Given that we are taking a bus trip from your home in Florida to California. There are seven…

Q: In how many ways can you send a message to your 8 teachers informing them that you have submitted…

A: Query- In how many ways can you send a message to your 8 teachers informing them that you have…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: When the members of a family discussed where their annual reunion should take place, they found that…

Q: Eleven players have gathered to play 5-on-5 basketball. (a) If they have decided that one of the…

A: a) From a group of 11 players, we can pick a 5 player team in 11C5 ways.  When 5 players have been…

Q: A college debate team is participating in a tournament in state A. They will fly from state B to…

A: The number of flights form B to C - 2 C to D - 7 D to A - 3 The possible number of ways from B to…

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Total number of candies = 310 Number of candies to be selected = 7

Q: How many ways are there to choose 20 co-op candidates out of 30 students to send to work at the same…

A: For the solution follow the next step.

Q: A woman has 11 close friends. (i) In how many ways can she invite 6 of them to dinner? (ii)  In how…

A: Total number of friends are 11.i Number of ways in which she can invite 6 of them.C611=11!6! 5!…

Q: Suppose that you have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

A: Given that, You have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

Q: 7 Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: Given that a student has a cup with 6 writing implements :3pencils,2 ball point pens and 1 felt -tip…

Q: In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific…

A: Total persons  = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…

Q: When the members of a family discussed where their annual reunion should take​ place, they found…

A:

Q: ) In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Q(3): The license plates are formed by choosing 2 letters (from total 26 alphabets) followed by 4…

Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…

A:

Q: 3. A delegation of 4 students is selected each year from a technical school to attend the Skills…

A:

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b)…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: Member would not go to park be n(P)=12 Member would not go to beach be n(B)=10 Member would not go…

Q: A California study concluded that following 7 simple health rules can extend a man’s life by 11…

A:

Q: Suppose a class has 25 students and there are 10 males and 15 females. A committee of size 5 is to…

A:

Q: In a standard deck of 52 cards and 4 suits, how many cards have to be picked to be sure that at…

A:

Q: FROM  a group of 6 students A, B,C,D,E AND F , 3 are to be selected in the school commitee  find…

A: From the provided information, Total students in group = 6 A, B, C, D, E and F 3 students need to be…

Q: In an examination paper, there are 7 questions in part A out of which any 4 are Example 48. to be…

A:

Q: For a standard 52-card deck (with 13 cards of each suit), how many ways are their to choose a 5 card…

A: Total number of cards in a deck = 52                          Number of suits = 4   Number of cards…

Q: 1) A committee of 5 is to be selected from a group of 7 men and 6 women. How many different|…

A:

Q: A committee of 5 is to be made from 3 students and 6 teachers. In how many ways can this be done a.…

A:

Q: Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: 1) According to the combination rule, if r distinct items are to be chosen from n items without…

Q: When the members of a family discussed where their annual reunion should take​ place, they found…

A: Given: Shorthand representation NP= Not go to the park NB= Not go to the beach NC= Not go to the…

Q: A carton of 15 light bulbs contains one that is defec-tive. In how many ways can an inspector choose…

A:

Q: A  commitee of 2 teachers is to be formed in a school such that there is one male and one female…

A: We can pick a female teacher from 12 female teachers in 12 ways.  We can pick a male teacher from 15…

Q: Five persons, A,B,C,D, and E, are going to speak at a meeting. a.) In how many orders can they take…

A: Given data: Total persons = 5 ( A , B , C, D, E ) To find; a.) In how many orders can they take…

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: From the given information, Total number places in the employee ID that needs to filled up =6 Total…

Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

Q: Suppose we want to choose 5 objects, without replacement, from 17 distinct objects. (a) If the order…

A: We will the number of ways in both conditions as following.

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: a) The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: We can solve it using Venn diagram

Q: Four married couples have bought 8 seats in the same row for a concert. In how many ways can they be…

A: Given: Number of seats = 8

Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ballpoint pens, and 1…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…

A: A question is given with 3 parts. The solution is given below.

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A:

Q: From among the 36 students in a class, one president, one vice-president and secretary are to be…

A: It is given that, there are 36 students in a class. Out of which one is elected for president, one…

Q: Of the 58 students in a mathematics​ class, 22 are taking​ French, 24 are taking​ German, and 7 are…

A: A Venn diagram is a pictorial representation of sets using circles or other closed figures inside a…

Q: Suppose that thirty-two students signed up for classes during an orientation session. If exactly…

A: Given Total number of students signed up for the classes during an orientation session = 32 Exactly…

Q: A student is given a reading list of ten books from which he must select two for an outside reading…

A: Given that the student has a list of 10 books from which he has to select 2 books

Q: Suppose that there is a proposal on campus involving the bus schedule, in which students were asked…

A: 50% favored Saturday service 57% favored late-night service 30% favored both.

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…