A student has 10 tickets to the show but she has 20 friends who want to see the show. Find the number of ways she can choose ten to give the tickets to, where: a. There are no restrictions. Simplify your answer to a final number. For questions b and c Do not simplify your answers. Leave in Combinatorics format. b. Two of the friends are twins so if you invite one you have to invite the other c. Two of the friends do not like each other so if you invite one you cannot invite the other.

Q: A box contains 7 blue socks and 5 red socks. Find the number of ways two socks can be drawn from the…

A:

Q: Suppose you have vanilla and chocolate ice cream, red sprinkles, green sprinkles, and rainbow…

A: From the given information, the number of ice creams is 2 and number of sprinkles is 3.

Q: A class has 35 students. In how many different ways can four students form a group for an​ activity?…

A: We are interested in the number of different ways in which we can select 4 out of 35 studentsn=35…

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

A: Given information: Number of digits that the access code for the lock box consists = 6 The first…

Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 5. The number of types…

Q: Scott has a bag of candies. 2/5 of the candies are red. 3/10 of the candies are green. If there are…

A: Given , In a bag Total Red Candies=12 2/5 of candies are red. And 3/10 of candies are green. We have…

Q: There are 52 students in Form 4. Every student does at least one of the subjects Mathematics,…

A: Given: Total number of students is, N=52. Number of students who does Biology, also does Chemistry.…

Q: You are going to create your own problem from the topics that were covered from the material for…

A: Hypothesis test are used to compare the sample and population, when we can't completely deal with…

Q: Suppose that you are looking for a student at your college who lives within five miles of you. You…

A: probability of success (p)=55%=0.55 total number of students=280

Q: A teacher is decorating their classroom by placing posters in a row on one wall. The teacher has 7…

A: Explanation: a) Given that,  Choose 5 posters out of 7. P57=7!(7-5)!=7×6×5×4×3=2520

Q: Smith, Jones and Robinson are engineer, brakeman and fireman on a train but not necessarily in that…

A: Consider the provided question, Since, The Robinson lives in Los Angeles. The brakeman lives in…

Q: 5b A committee of 8 members is to be formed from a group of 7 women and 5 men. i.) Calculate the…

A:

Q: Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is…

A: Given that, Mrs. Cho has 24 students in the class. Now, calculate the number of student representing…

Q: 13b) Suppose the number of permutations without replacement is 720 and the number of combinations…

A:

Q: Jennifer has 4 black bags. She has 15 seeds in the black bags. She has arranged the seeds in the 4…

A: Given : Number of bags = 4 Number of seeds = 15 None of bag is empty and all bags have different…

Q: (b) A team of 5 people is to be formed from 4 men and 6 women. Find the number of possible teams if…

A:

Q: Q5. In how many ways can 7 men and 10 women sit in a row if the seat numbers 1-7 are for the men the…

A: Number of ways to allocate 7 men in seats 1-7 will be: Number of ways = 7!…

Q: 7. A computer programming team has 13 members.

A:

Q: There are 10 guests (1 is the host) in a conference. In how many ways can he accommodate his guests…

A: total number of guest =10 number of ways  person can arrange in circular table is (n-1)!

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: A company that makes crayons is trying to decide which  5  colors to include in a promotional…

A: In this question a company that makes crayons is trying to decide which 5 color to include in…

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

A: Given problem Given that   Four married couples have bought 8 seats in the same row for a concert.…

Q: In how many ways can 3 acacias, 4 narras, and 3 mahoganies be arranged along a property line if one…

A: It is given that, the number of acacias 3, narras 4 and mahoganies  3.   Formula used: The number of…

Q: As a vacation souvenir, a family of 4 members wanted to be photographed together with their 2 pets…

A: A family of 4 members wanted to be photographed together with their 2 pets (a cat and a dog). Given,…

Q: Suppose we want to choose 5 objects, without replacement, from 8 distinct objects. (a) If the order…

A:

Q: A row of six seats in a classroom is to be filled by selecting individuals from a group of ten…

A: Use the fundamental principle of multiplication. As per the fundamental principle of multiplication,…

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (a)…

A:

Q: On Saturday, you bowl at Cherry Hill Lanes, where renting shoes costs $2 and each game bowled is…

A: Given  On Saturday Each game cost =$3.50  and renting shoes costs = $2 y=3.50g+2 ..(1) On Sunday…

Q: 3. Suppose there are 6 black pens, 7 blue pens, and 5 red pens. Find the number of ways you can…

A: Given,no.of black pens=6no.of blue pens=7no.of red pens=5Total no.of pens=18

Q: day, Fred and his N friends were playing a card game in which each player throws a card with a…

A: Algorithm:1. First let's define a function name "maxFlipSum" having a array input and one integer…

Q: An event planner is deciding what food to include in a buffet. The caterer has offered 8 cold dishes…

A: Number of hot dishes = 11 Number of cold dishes = 8 Total number of dishes offered = 19 (i) Number…

Q: Q2: a group of 6 boys and 4 girls, in how many way four children can be selected such that at least…

A: Given is a group of 6 boys and 4 girls.   To Find: Number of ways four children can be selected such…

Q: A truck contains 6 blue balloons, 6 red balloons and 8 green balloons. In how many ways can 6…

A: a) At least 4 red balloons means 4 or 5 or 6 red balloons can escape.  So we have to select first 4…

Q: An event planner is deciding what food to include in a buffet. The caterer has offered 10 cold…

A: a) There is total 10 cold dishes and 6 hot dishes. Hence, the total number of dishes are, 10 + 6 =…

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

A: Any number from 0 to 9 can occur. So, total number of digits available = 10 Number of digits require…

Q: A math teacher asks each student to create a password to gain access to her website. The password…

A: Introduction :-  Given :-  The password has 5 digits. The first digit must be a multiple of 1. The…

Q: How many possible ways can a housewife take to buy a book from a bookstore, then buy groceries from…

A:

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

A:

Q: There are four boys and four girls at a party. In how many ways can they be seated in a row if they…

A:

Q: (Show your solutions) In how many ways can 4 boys and 4 girls be seated at a round table if a.…

A: Total number of people = 8 a. without any restriction, 4 boys and 4 girls can be seated in 8! =…

Q: Mr Regpala needs the help of 6 students from the class to help him move some supplies. If the class…

A: Given that  Mr Regpala needs the help of 6 students from the class to help him move some supplies…

Q: Answer each permutation problem completely. Show complete solution. There are 12 people in a dinner…

A: The following information has been given: The total number of people n=12.

Q: 20 politicians are having a tea party, 6 Democrats and 14 Republicans. To prepare, they need to…

A: The number of democrats in a tea party is 6. The number of republican leader in tea party is 14.…

Q: If there were 500 farms and they grew wheat corn and oats. If 125 grew only wheat and 110 grew only…

A: Given, If there were 500 farms and they grew wheat corn and oats. If 125 grew only wheat and 110…

Q: For the following scenario, state whether it involves a permutation or a combination, then find the…

A: A scenario is given. The objective is to tell if it is a permutation or a combination.

Q: An ice cream store has 25 flavors to select from. A customer walks in and orders a three​-scoop ice…

A: Given , an ice cream store has 25 flavors to select from. A customer walks in and orders a three…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.