How many ways are there to form a group for a work session of 4 people?  How many ways are there to form a group for a work session with 2 authors and 2 poets?

Q: A bag contains 3 lemon, 2 cherry, and 6 grape candies. A handful of 4 candies is grabbed from the…

A: At most 1 grape candy means 0 or 1 grape candy. There are 6 grape candies and (3+2)=5 non-grape…

Q: There are 11 teams in a league. How many games are played if every team plays each other twice?

A: Suppose there are n teams. Also suppose that all the teams play every other team twice. Then the…

Q: There are 15 different courses and 18 students in a school. Every student takes 4 courses. Show that…

A: Given, There are 15 different courses and 18 students in a school. Every student takes 4 courses.…

Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 1…

A: The objective of the question is to find out the number of ways to choose 1 job out of 4 available…

Q: In a class there are 30 female students and 20 male students. A committee of four students need to…

A: There are 30 female and 20 male students.

Q: Of 16 possible​ books, you plan to take 3 with you on vacation. How many different collections of 3…

A: See the handwritten solution

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

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Q: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

A:

Q: The Hickory Stick has a selection of 4 meats and 7 vegetables. How many different selections of one…

A:

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: There are 24 students in the senior class. Four of the students will be chosen to be the President,…

A: There are total 24 students. We need to select one  President, Vice-President, Secretary, and…

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

A:

Q: A catering service offers 6 ​appetizers, 9 main​ courses, and 5 desserts. A banquet committee is to…

A: The objective of this question is to find out the total number of ways the banquet committee can…

Q: A restaurant offers a menu with choice of 4 appetizers, 6 main courses and 5 desserts. How many…

A:

Q: A person has 3 shirts, 2 pants and 5 shoes. How many combinations can be made?

A: GivenA person has no.of shirts=3No.of pants=2No.of shoes=5

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

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

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: Given,no.of chemistry workshops=7no.of biology workshops=6