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: In response to the city's Clean and Green Campaign, the Boy scout and Girl Scout of Barangay Jolo…

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Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: During intramurals the sports coordinator finds that, of its 175 students, 96 plays basketball, 86…

A: We want to find number of student that did not play any of the given three games.

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…

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

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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: Payton's futsal team consists of 10 girls, but only 5 can be on the field at any given time (four…

A: It is given that: The no. of available girls is 10. The team consists of 5 girls, including 1…

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

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Q: a candle company sells individual candles, boxes with 8 candles, or containers with 15 boxes. At the…

A: Given:The number of candles in a box is 8.The number of box in a container is 15.At the beginning,…

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: The student council is required to have 6 members. Two should be seniors and the other 4 should be…

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Q: Montgomery College has a 60-piece band and a 38-piece orchestra. If 15 people are members of both…

A: Let A denotes the set of members of band and B denotes the set of members of Orchestra. Given the…

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

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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: Mr. Jordan is traveling to Helsinki Finland with his Gibson Les Paul guitar for a competition during…

A: To find: How many different ways can he travel from Toronto to Helsinki.

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…

Q: In a small village with 200 inhabitants, half of the villagers have either a cat or a dog or both.…

A: Given total number of inhabitants = 200 Given half of the total inhabitants have either a cat or a…

Q: A large university accepts 50​% of the students who apply. Of the students the university​ accepts,…

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Q: At a high school, 64 students play video games during their free time, 74 students ride skateboards,…

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Q: Keep in Shape Club has 73 members. 35 members swim, 24 play basketball, and 27 jogs. Of these…

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Q: A teacher decided to buy breakfast for her students while welcoming them during the first day of…

A: Inclusion exclusion principle Let A, B be two events then the number of ways to get either A or B'…

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.