Question 3 of 12. Step 1 of 1 2/12 Correct A president and vice-president for a sorority are chosen from six people. How many different president/vice-president combinations are possible?

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: How many ways can the letters be arranged? If each letter is distinct (that is, each letter E is…

A: Consider the letters of the word ELEEMOSYNARY Total 12 letters E occurs 3 times Y occurs 2 times…

Q: QUESTION 2a. How many unique arrangements can be made using the 8 letters that spell COURTESY ?…

A: (a) 8 letter word : COURTESYall 8 are different latters(b)8 letter word: COOKBOOKO repeats 4 timesK…

Q: Help with this question please 12 people are entered in a race how many ways can the top 2 places…

A:

Q: In how many ways can a committee of three men and three women be formed from a group of eleven men…

A: The provided information is as follows:The total number of men is 11.The total number of women is…

Q: How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters (a)…

A: Solution: 39. From the given information, the 10 letters are “FGHIJKLMNO”.

Q: In how many ways can a president, vice president, secretary, and treasurer be elected from a group…

A: Step 1:Here is group of 6 people.From this, we need to choose 4 people: president , Vice president ,…

Q: In a shipment of 25 parts, 8 of the 25 parts are defective! Five of these 25 parts will be…

A: Solution-: Given: n=25,r=5 We find how many ways can the technician select five parts from the…

Q: For the new fall season, a network president has 11 shows in development, and 8 openings in the…

A: The network president has 11 shows in development . There are eight openings in the prime time…

Q: You have one pile of 12 building blocks, each one a different color, and you also have another pile…

A:

Q: You have one pile of 10 building blocks, each one a different color, and you also have another pile…

A:

Q: We form three groups 1, 2 and 3 using 8 red balls and 18 blue balls such that (a) all balls must be…

A: according to question, we form three groups 1,2,3 using 8 red balls and 18 blue balls with the…

Q: A president and vice president for a club must be chosen from four people. How many different…

A: The permutation is defined as the arrangement of things or objects into a definite order. In…

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: signal flags; how many different signals can be made by using at least 3 different flags if there…

A: Given  In part (a) Different flags = 3  In part (b) Given that 6 appetizers and 6 vegetables are on…

Q: How many different committees of 3 people can be formed from a pool of 7 people? A We need to pick a…

A: Given: There is a pool of 7 people.

Q: In how many ways can the first five letters of the alphabet be arranged if each letter is used only…

A:

Q: In how many ways can nature select 4 students out of a class of 15 students to get the flu? In how…

A:

Q: There are 10 people to be selected from. How many committees are possible?

A: Here use combination

Q: A group of 8 students are studying statistics and are sitting on a bus with 4 double seats that seat…

A: There are n different objects and the objects are to be placed in n places. The total number of…

Q: Prizes are to be given to different people in a group of 18. In how many ways can a first prize, a…

A: Use the given information.

Q: There are 42 runners in a race. How many ways can the runners finish​ first, second, and​ third?…

A: Permutation: The number of permutations of r items selected from n items is, Prn=n!n-r! It is clear…

Q: 1.A club with 15 members will choose 3 of them to attend a meeting. In how many different ways can…

A: Given that there are total 15 members and we will choose 3 of them. Since we will pick 3 persons in…

Q: A jury consists of 7 men and 10 women. Five jury members are selected at random for an interview.…

A:

Q: Question 19 In how many ways can two committees (one of 4 members and the other of 3 members) be…

A:

Q: Suppose that a college of engineering has seven departments, which we denote by a, b, c, d, e,f, and…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: You have one pile of 11 building blocks, each one a different color, and you also have another pile…

A: Permutation: It's means arrangement in a definite order of things which may be alike or different by…

Q: Permutations Use the permutations to solve the given problem. Explain your answer. Show your…

A: Total no. Of options = Number of options for 1×no. Of options for 2nd and goes on

Q: You are to perform tests on seven electronic parts. Each part is made by a different company, but…

A: From the above question We are given that  Total number of electric part =7 Number of selected part…

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.