A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces. How many different recital programs 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: There are 12 tables and 4 booths in the family restaurant. Each table seats 4 people. If the…

A:

Q: In a jar of 33 coins, consisting of only pennies and nickels, there are one half as many nickels as…

A: Given a jar of 33 coins, consisting of only pennies and nickels and there are one half as many…

Q: Will read 20 pages of his mystery book every day. After reading for 5 days, Will still had 55 pages…

A:

Q: A high school has a 1809 lockers. They decide they are going to take out all of the lockers.They can…

A:

Q: Thirty-two men can reap a field in 18 days. If the field is to be reaped in 12 days, how many men…

A:

Q: A department store manager wants to display 6 brands of a product along one shelf of an aisle. In…

A: According to the provided information, A department store manager wants to display 6 brands of a…

Q: If Jason wants to play the most number of League of Legends games as possible while still playing at…

A: we have graph as follows:

Q: Tyler has a large bag of mixed jelly beans that he is eating one at a time from. If the bag has 11…

A: nPr = n!/(n-r)!  Means number of ways in which r different things can be arranged  out of n…

Q: How many pounds of bacon should be ordered when serving a breakfast party of 85 people if each…

A:

Q: pianist plans to play 4 pieces at a recital from her repertoire of 26 pieces. How many different…

A: given data, A pianist plans to play 4 pieces at a recital from her repertoire of 26 pieceswe have to…

Q: ot want the stickers and

A:

Q: In a class of 60 students,each of the students passed either in mathematics or in science or in…

A: Given: Total number of students passed either in mathematics or in science or in both=60 Students…

Q: A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 37 subs today. How many…

A: Given that  A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 37 subs…

Q: Noelle has 75 DVDs. If a basket can store 9 DVDs, how many baskets does she need to store all her…

A: Given  Total number of DVD Noelle has=75 capacity of basket =9 DVD

Q: There are four staff members needed to complete a startup. How many startups can be made if a…

A: 1) When the startup consist of one member then the number of ways are: C14=4 2) When the startup…

Q: Find the number of ways to break a group of 12 people into 3 classrooms, no empty classrooms.

A: Solution

Q: A motorcycle shop maintains an inventory of five times as many new bikes as used bikes. If there are…

A:

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: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he…

A: He can pick first song in 7 ways Second song in 6 ways Third song in 5 ways and so on.7th song in 1…

Q: There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9…

A: We can solve this

Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

Q: Kobe has collected 200 football cards and 112 baseball cards. He wants to divide them into piles so…

A: Kobe has  200 football cards and 112 baseball cards and He wants to divide them into piles in such a…

Q: For week 1 of a weight-loss competition, Team A had three members lose 8 pounds each, two members…

A: In a weight loss competition If three members lose 8 pounds each then effective weight loss will be…

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: A crew delivers 96 sandwiches,288 snacks,and 432 beverages to airplane before their flights. The…

A:

Q: Julian is arranging 162 chairs for a concert. He places the chairs in rows, with the same number of…

A: Given that, there is a total of 162 chairs. The chairs are being placed in rows, with the same…

Q: For her show "Outfront," Anna can air 5 segments. If she has 13 segments to select from, in hoW many…

A: Total number of segments =13 Number of segment selected =5

Q: A cashier has a total of 30 bills, made up of ones, fives, and twenties. The number of twenties is 9…

A: A cashier has a total of 30 bills, made up of ones, fives, and twenties. The number of twenties is 9…

Q: The top 12% of San Sebastian College’s graduating class made the Dean’s List. If there are 800…

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.