At a college library exhibition of faculty publications, three mathematics books, three social science books, and four biology books will be displayed on a shelf. (Assume that all of the books are different.) (a) In how many ways can the ten books be arranged on the shelf? __ways (b) In how many ways can the ten books be arranged on the shelf if books on the same subject matter are placed together? __ways

Q: Kelly has different books to arrange on a shelf, 4 blue, 3 green, and 2 red. Answer parts a through…

A: Answer of (a) is  4*3*2 = 24

Q: How many ways can nine different books be arranged on a shelf? There are _____ ways to arrange the…

A: To find How many ways can nine different books be arranged on a shelf?

Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: In Connecticut, auto license plates carry 3 digits followed by 3 letters. (Assume the first digit…

A:

Q: In how many ways can 4 different IT books, 2 different mathematics books, and 1 biology book be…

A: The objective of this question is to find the number of ways the books can be arranged on a…

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of eight Democrats…

A:

Q: Members of three families are in attendance at a party: • Nine are members of the Adams family •…

A: There are Nine members of Adams (A) familySeven members of Brown(B) familySix members of Clark (C)…

Q: In how many ways can 7 science books, 3 history books, and 6 mathematics books be arranged on a…

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: Two candles of equal length are lit at the same time. Candle A takes 10 hours to burn out completely…

A: According to the given question, Length of candle A = Length candle B Number of hours taken by…

Q: How many different ways can 5 out of 8 different shirts, 4 out of 10 different pairs of pants, and 3…

A: We have given that,  Shirts = 8 , pairs of pants  = 10 and pairs of socks = 6

Q: ways cal on a bookshelf if 6 different novels, 6 different mathematics books, and 2 blology DOOK(S)…

A:

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

A:

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

A:

Q: In how many ways can 3 English, 3 history, and 3 math books be set on a shelf, if the English books…

A:

Q: Five paintings in an art gallery have the following names: "red," "seascape," "flower," "horse," and…

A: Given: Total number of names = 5 Number of names chosen without repetition = 3

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: how many ways can a club schedule one member to work in the office on each of 6 different days,…

A: Given: Number of people = 7 Number of days = 6 Each person can work for more than 1 day.

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.