There are 20 employees in Mazaya college for four different Positions. How many different ways that the positions can be fill Using : (a) – The combination nule (b) – The multiplicative nule (c) The pemutation rule.

Q: In how many ways can the letters of the word HORRAR be arranged if vowels are together?

A: Given information- We have given the letters of the word- HORRAR We have to find a number of ways to…

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: Suppose we want to choose 5 letters, without replacement, from 14  distinct letters. (a) If the…

A: To find : If the order of the choices matters, how many ways can this be done?

Q: When ordering a certain type of computer, there are four choices of hard dnve, five choices for the…

A:

Q: Suppose we want to choose 6 letters, without replacement, from 8 distinct letters. (a) How many…

A: Number of choosen letters (r) = 6 Total number of letters (n) = 8  Consider a situation where r…

Q: )m >(-

A:

Q: How many (distinguishable) ways are there to rearrange the letters of ILLINOIS?

A: here total letters=8i-3l-2n-1o-1s-1

Q: A speech class teacher is going to rank nine different speeches.  In how many different ways could…

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Q: The table lists the number of deaths (in thousands) in a certain country during a particular year…

A: The table shows the number of deaths in a certain county during a particular year according to race…

Q: Suppose we want to choose 5 letters, without replacement, from 17 distinct letters. (a) How many…

A: Solution:In this problem we want to choose  letters, without replacement, from  distinct letters.(a)…

Q: Assume that 8 women and 6 men work in a department at a large company.   Four committee members are…

A: Given,no.of women=8no.of men=6Total no.of peoples=14

Q: a) Evaluate: 21-12 + (4-10)

A: Given 21 - 12 ÷ ( 4 - 10 )

Q: A dinner club has 30 members. At a particular dinner, every club member gets to order exactly 3…

A: There are total 30 members, and each member gets to order exactly 3 different items. Thus, the total…

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: Marshall had d dogs that he put into 4 different areas. How do you write this as a divison sentence?

A: Consider the provided question, Given, Marshall had d dogs that he put into 4 different areas. We…

Q: A photographer wishes to arrange 7 children consisting of 3 boys and 4 girls in a straight line for…

A:

Q: Which of the following notations could be used to determine the total number of possible ways in…

A: We have given that total of 500 attendees from which 15 were elected as Board of Directors. Three of…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many diff ways can…

A: Given: Four married couples have bought 8 seats in the same row for a concert.

Q: Determine the "n" and "p" in the following problems and write them in Combination notation. a)How…

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Q: Evaluate: C(7,5)*P(9,2) / C(16,3)

A:

Q: Out of 800 families with 5 children each how many would you expec to have i) 3 boys (ii ) either 2…

A: Given: Total number of families=800Number of children=n=5

Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

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Q: How many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that…

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Q: In how many distinct orders can the sweaters be arranged if two sweaters of the same color are…

A: HERE GIVEN , A sales assistant is hanging 11 sweaters on a rack. He has 5 green sweaters, 3 pink…

Q: Before 1995, area codes for phone numbers had the following format: NNN, where first digit couldn’t…

A: Given that , Before 1995, area codes for phone numbers had the following format: NNN where (1) first…

Q: (a) married to each other and (b) not married to each other

A: Since , there are 15 married couples in a room Our aim is to determine the number of possible ways…

Q: In some problems of occupancy theory we are con-cerned with the number of ways in which certain…

A: Let there be r indistinguishable objects that need to be arranged in n cell. Suppose (n-1) and r…

Q: 23 Find the number of permutations of all the letters of the word NOTEPAD if: a) the letters can be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Findd the Londimantd metrix and generedsolution o rAYWhere 3-24 -70 2 2.

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Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: a (a) In %3D 6-4c (b) In vb a. In(a*b*)…

A: Give ln a =2 , ln b = 3, ln c = 5

Q: How many different ways can 6 different pencils be given to 3 students (each student will receive at…

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.