At the Sports JD Club, 35 people play basketball, 30 play soccer, and 31 play badminton.  Of these people, 22 play basketball and soccer, 19 play soccer and badminton, and 18 play badminton and basketball.  Eleven people do all three activities.

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: A class with 30 students has ten men and nine seniors, and five of the men are seniors. How many…

A: The total number of students is n = 30.

Q: In the recent PIIE webinar attended by 100 people, there are 30 Filipino women and 23 Filipino men.…

A:

Q: from an island-town with 2000 people. He goes to the mainland with a friend and there they catch a…

A: Given, Lau came from an island town with 2000 people. He goes to the mainland with a friend and…

Q: Ethan owns 8 pairs of pants, 4 shirts, 4 ties, and 3 jackets. How many different outfits can he wear…

A: The above example is an example of a combination. we have to find different combinations of outfits.

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: 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: A grocery store has 4 brands of crackers and 8 different varieties of cheese. How many ways can Josh…

A:

Q: A pianist plans to play 6 pieces at a recital from her repertoire of 24 pieces. How many different…

A: Given data A pianist plans to play 6 pieces at a recital from her repertoire of 24 pieces

Q: exactly one of the three colleges. Based on a survey, 25% of the students attend College A, 35% of…

A:

Q: Your little cousin will have a big animal-themed birthday party and you will help with goody bags.…

A:

Q: What is the probability that a gacha now drawn from the second gift bag is a Naruto gacha?

A: Let us define some events A : Pokemon gacha is placed in second gift bag. B : Naruto gacha is placed…

Q: This bag contains one fewer Lima bean than Red beans. There are six more Black beans than Lima…

A: Dear student, You posted the problem, but I think you forgot to mention the question. It's easily…

Q: This year, I am the adviser of a 42-member local chapter of the National Mathematics Honor Society.…

A: topic - permutation and combinatation

Q: In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student…

A: Let us denote: Cricket = C and Football= F Given that, n(C)= 24 , n(F)= 16 , n(C or F)=35  We have…

Q: If a team of four players must be made from eight boys and six girls, how many teams can be made if…

A: 1. There are eight boys and six girls, totally there are 14 players. A team of four player. The…

Q: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of the question is to find out the number of possible committees that can be formed…

Q: A group of 5 women and 5 men must select a three-person committee. How many committees are possible…

A:

Q: A produce stand sells only broccoli, carrots, and okra. One day the stand served 407 people. If 114…

A: Given that the stand served 407 people, so sample space, n(S)=407 114 people purchased broccoli,…

Q: There are 10 students that are a part of a chess club. 2 kids can play a game of chess at once. How…

A: Ans -:  There are 10 students that are a part of a chess club. 2 kids can play a game of chess at…

Q: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of this question is to find out the number of possible committees that can be formed…

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

A:

Q: How many committees are possible if the committee must have a least two men?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…

Q: In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only…

A:

Q: A school is planning a field trip for 155 people. the trip will use six drivers and two types of…

A: A school is planning a field trip for 155 people. the trip will use six drivers and two types of…

Q: Your favorite pizza restaurant has 6 different meat toppings and 12 different vegetable toppings.…

A: It is given that there are 6 different meat toppings and 12 different vegetable toppings. Also, roof…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.