The city government of Imus is forming medical teams with 5 personnel from 30 volunteers. How many different groups are possible?

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: 16. You go to Baskin Robins to buy an ice-cream. If you have 3 kinds of cones, 31 flavors, 8…

A:

Q: A Civil Air Patrol unit of ten members includes five officers. In how many ways can five members be…

A: Determine the number of ways that five members can be selected for a search and rescue mission such…

Q: Jeanine Baker makes floral arrangements. She has 12 different cut flowers and plans to use 5 of…

A: We have 12 distinct flowers and need to choose any 5 flowers. So, we are asked to the different…

Q: Tags in Delaware consist of 2 letters followed by 3 numbers it the letters can be repeated but the…

A: We can pick a letter in 26 ways.  So two letters can be picked in 26*26= 676 ways

Q: Determine the number of 5 student committees that can be formed if: the committee must have 4 boys

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Q: on a business retreat your company of 32 executives go golfing a. you need to divid up into…

A:

Q: Jeanine Baker makes floral arrangements. She has 11 different cut flowers and plans to use 5 of…

A:

Q: A family is planning a camping trip at a national park. The national park has 4 campgrounds, each…

A: counting principle   multiply number of choices to find total no. of possibilities.   4 campgrounds…

Q: John went to a pastry Shop in New York. He went to order 6 pastries and the store had 4 different…

A: Given: Types of pastries: E, F G and H.

Q: Carson is organizing textbooks on his bookshelf.He has a Spanish textbook,a math textbook,a history…

A:

Q: Twenty batteries will be put on the display. The types of batteries are:  AAA, AA, C, D, and 9-volt.…

A: Given,  20 batteries will be put on the display. The types of batteries are:  AAA, AA, C, D, and…

Q: Combination. There are 15 technicians and 11 chemists working in a research lab. They need to form a…

A:

Q: In each of the parts below, the coins available are half-dollars, quarters, dimes, nickels, and…

A: This question can be solved using permutation and combination.

Q: A pianist plans to play 3 pieces at a recital from her repertoire of 25 pieces. How many different…

A: As per given by the question, a pianist plans to play 3 pieces at a recital from her repertoire of…

Q: Combinations The president, secretary and treasurer of the math society are to be chosen from 5…

A: The president, secretary and treasurer of the math society are to be chosen from 5 boys and 3 girls.…

Q: John has 6 different flags that he wants to hang on the wall. How many different ways can the flags…

A: The number of flags having by John is 6.

Q: Books: Josephine has seven chemistry books, three history books, and four statistics books. She…

A: number of ways to choose r objects from n different objects  =ncr =n!/[(n-r)!r!]

Q: To select a stir-fry dish, a restaurant customer must select a type of rice, protein, and sauce.…

A: From the provided information, The restaurant offers two types of rices, three proteins and seven…

Q: A candy shop sells candies with six kinds of flavor- cinnamon, cherry, chocolate, caramel, apple.…

A: Given information: Different kind of flavour for candies = 6 As per guidelines we will solve the…

Q: To order a flavored latte at a coffee shop, you have to pick a size, a type of espresso, a type of…

A: Number of ways to choose a size = 3 Number of ways to choose a type of espresso = 10 Number of ways…

Q: Zack coordinates games for a youth soccer league. After Zack has figured out which teams are…

A:

Q: Ferris wheel has 15 cart seats. In how many possible ways can 15 people arrange themselves in the…

A: solution: The number of ways 15 people can be seated abreast = 15! =1307674368000  This is also the…

Q: Combinations The president, secretary and treasurer of the math society are to be chosen from 5…

A:

Q: A certain ice cream parlor offers twenty flavors of ice cream. You want an ice cream cone with three…

A:

Q: t has room for only 5 of them. In how many ways can they be chosen?

A: Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how many…

Q: Combinations How many subcommittees of 5 people can be formed from a committee consisting of 8…

A: How many subcommittees of 5 people can be formed from a committee consisting of 8 people?

Q: There are 15 board members of the Damath Club. How many committees of 3 members can be formed?

A: Total members are 15.

Q: a. A small class consists of 15 students. How many ways can you choose 5 students to sit on a…

A: The combination rule can be used to find the total number of different ways of selecting r items…

Q: At the ice cream shop, there are 18 flavors of ice cream available. How many ways can you select a…

A: Combination

Q: Six boys and five girls seat in round table. How many ways can we arrange them boys have to seat…

A:

Q: A garden has 2 rows. The first row has 5 kinds of seeds. The second row has 4 kinds of seeds. In how…

A: We can use combinations to answer this question. The first row has five kinds of seeds and the…

Q: A basket holds n apples. You pick (2n-3) apples, and your friend picks (n+4) apples. 1. How many…

A: A basket holds n apples. You pick (2n-3) apples, and your friend picks (n+4) apples. Then, we have…

Q: Filipino band Ben and Ben is planning to have a grand concert in MOA Arena and decided to play 6…

A: Given that Filipino band Ben and Ben is planning to have a grand concert in MOA Arena and decided to…

Q: Erik Allen repairs photocopy machines. According to his schedule, he needs to visit 5 different…

A:

Q: Lindsay teaches 4 courses at his small college. The courses are College Algebra, Precalculus,…

A: The number of ways can arrange the College Algebra text books is, 2! The number of ways can arrange…

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A: Given :  A Car seats 5 people, including the driver. You have 8 friends who all need you to drive…

Q: Carson is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a…

A: The given data is: Carson is organizing textbooks on his bookshelf. He has a Spanish textbook, a…

Q: Jeanine Baker makes floral arrangements. She has 12 different cut flowers and plans to use 7 of…

A:

Q: You are planning to plant one durian, one rambutan, one mango and one avocado tree in your garden.…

A: Given that  Plants need to plant Types available in nursery Durian = 1 Durian = 2 Rambutan =…

Q: How many choices of 5 pocketbooks to read can be made from a set of nine pocketbooks?

A: The combination means a number of ways of selecting some items from the total number of items. For…

Q: A new restaurant has opened and they offer lunch combos for $5.00. With the combo meal you get 1…

A: number of ways to choose r items from n items =ncr

Q: H) A class contains 10 students, 6 boys and 4 girls. We need to pick 3 students to represent the…

A:

Q: Marlon works at the local museum. He has 10 pieces of art to choose, but he can only hang 4 of the…

A: M has 10 pieces of art and she can only choose 4 and after choosing they are to be arranged.…

Q: almonds, cashews, hazelnuts, and peanuts. Amir can choose a few scoops of nuts and repeat the same…

A:

Q: A legislative committee consists of 5 Democrats and 6 Republicans. A delegation of 3 is to be…

A:

Q: leanine Baker makes floral arrangements. She has 10 different cut flowers and plans to use 5 of…

A: Given information 10 different flowers 5 needs to be selected It is a problem of combination n = 10,…

Q: A restaurant provides a brunch where the omelets are individually prepared. Each guest is allowed to…

A: Given that there are 7 different ingredients. When a person orders an omelet then he has 2 options…

Q: In a garden there are 50 flowers. Some have 5 petals, and some have 8 petals. In all, there are 319…

A:

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.