4. In how many ways can you arrange 9 distinct homework problems for an assignment?

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

A:

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: 8. Solve. (a) In how many ways can a committee of 3 students be formed from 10 students if one…

A:

Q: For each situation below, identify whether it is a permutation or combination problem and then find…

A: Permutation relates to the act of arranging all the members of a set into some sequence or order.…

Q: How many different ways can you pick four objects out of eight objects and arrange them in order?

A:

Q: How many ways can you arrange 6 of 11 different books on a shelf?

A:

Q: For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students…

A:

Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

A:

Q: How many ways can 8 pictures be arranged in a row? How many ways can 4 problems be selected out of…

A: A permutation is an ordered arrangement of a set of objects

Q: In choosing what music to play at a charity fund raising event Cory needs to have an equal number of…

A: If an event can be done in n different ways and an other event can be done in m different ways, then…

Q: How many ways are there to draw three winners out of 200 people

A: There are total 200 people involved.  Here order for  selection is matter so we will use…

Q: 4. What is the number of different ways to divide a group of 20 people equally into 2 sub-groups?

A: Permutation and combinations

Q: How many ways can a baseball coach arrange the order of 9 batters if there are 13 players in the…

A:

Q: How many different groups of 5 problems can be chosen from the 10 problems

A: Given How many different groups of 5 problems can be chosen from the 10 problems.

Q: Dean wants to display 12 photos and 18 drawings he owns in groups, with each group having the same…

A:

Q: How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same…

A:

Q: 4) You want to know if an octopus (octopi are very intelligent!) can tell the difference between…

A: To determine whether the octopus can tell the difference between circles and rectangles based on the…

Q: How many different groups of 5 problems can be chosen from the 14 problems?

A: Given that  5 problem can be chosen from the 14 problems. we use combination formula.  n= 14 , r = 5…

Q: For this problem, assume that 13 exhibits entered the science fair and that we want to assign 4…

A: From the provided information, Total exhibits = 13 Total prizes = 4

Q: in how many ways can the letters MANAGEMENT be arranged?

A: Total number of ways in which a word with n distinct letters can be arranged is n!But we see that…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 8…

A: Given data: The number of cars to pick is r=4. The number of subcompact cars is s=8. The number of…

Q: For a class activity, a teacher put students into teams of 5.The teams were made up of 2students…

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.