A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high fiber cookie. a) In how many ways can you select some cookies? b) In how many ways can you select some cookies if you must take at least one almond cookie?

Q: The basic blood types are represented by letters: A, B, AB, and O. There is also an Rh factor…

A: Given variables:1. Blood types: 4 (A, B, AB, O)2. Rh factors: 2 (Positive, Negative)3. Genders: 2…

Q: A club with 29 members is to select a committee of five persons. In how many ways can this be done?

A: In a committee, we select the persons as a group. So the arrangement does not matter. So we will use…

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: The Greenbush Bakery is holding a sale on doughnuts. They sell 6 varieties: apple cider vinegar,…

A: Given: The number of varieties of doughnuts = 6 (apple cider vinegar, sour cream, cherry, caramel,…

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: Mr.Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5 students to…

A: Given that Mr. Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5…

Q: A particular brand of shirt comes in 8 colors, has a version with a pocket and one without, and…

A: The shirts can be any of the 8 colors.

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: How many ways can you pick the cars so not both are the same siz

A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: 6. A bin of golf tees has 7 different colors. You reach in and grab 100 tees. How many different…

A:

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: A club with 28 members is to select five officers (president, vice president, secretary, treasurer,…

A: Total members=28

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: 14 children are going on a field trip and must be paired up (the buddy system). In how many ways can…

A: To find: In how many ways can the 14 kids be paired up with each other?

Q: A boyscout troop has 10 members. a. How many ways can the Troup Leader select 3 members to lead a…

A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

Q: Six players are to be selected from an 11​-player baseball team to visit schools to support a summer…

A: No. Of total students = 11 No. Of player to select = 6.

Q: How many different arrangements are there for the eight letters {a, c, f, g, i, t, w, x} ? a. How…

A: a.  since we know the 1st letter is t.  The second letter in the permutation can be choosen in 7…

Q: Maria needs to take three physical education classes in order to graduate. Her college has 12…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A club of 8 people wants to choose an executive board consisting of president, secretary, treasurer,…

A: The problem can be solved using the concept of permutation and combination.

Q: A restaurant lets you customize your deli sandwich. There are 66 choices for bread, 8 choices for a…

A: If one, bread, one protein, and one cheese are selected then there is only one combination of the…

Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…

A:

Q: The annual National No Spying Day is celebrated at KAOS headquarters this year. There are 11 Control…

A:

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

A:

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: A frozen yogurt store has 11 toppings to choose from. In how many ways can 3 of the 11 toppings be…

A:

Q: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…

A: The objective of this question is to find out the number of ways in which 33 guests can arrange…

Q: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: It is given that, There are 4 tankers , 6 coal cars and 10  lumber cars.

Q: A cargo ship unloaded a shipment of 12 photocopy machines that contains 3 defective units. In how…

A:

Q: A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the…

A: Given that A teacher had chooses 3 of 22 students to help clean the room after school. To find…

Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

Q: How many different committees can be formed from 9 teachers and 30 students if the committee…

A: Given there are 9 teachers and 30 students.  We have to find that how many different committees can…