There are 7 Math books, 4 English books and 6 Filipino books on a shelf. How many ways can you arrange all books such that the books of the same subject are kept together?

Q: There are 4 different Mathematics books and 5 different Science books. In how many ways can the…

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Q: A student has five mathematics books four history books, and eight fiction books. In how many diff…

A: Given that A student has five mathematics books four history books, and eight fiction books

Q: How many ways are there to stack an ice-cream come with 4 scoops if the choices are pistachio,…

A: The choices are pistachio, peach, cherry, walnut, peanut butter, and raspberry. That is 6. I scoop…

Q: There are 8 nickels, 5 dimes, 7 quarters, and 6 loonies in a piggy bank. You are thinking of…

A: Given, in a piggy bank, there are  8 nickels, 5 dimes, 7 quarters, and 6 loonies.

Q: There are 2 copies each of 4 different books. In how many ways can they be arranged on a shelf?

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Q: Five discrete Math books and four geometry books are to be placed on a shelf. How Many ways can they…

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Q: how many ways can you arrange 4 objects from a set of 15 objects?

A: From the provided information, A set contains 15 objects from which 4 objects will be arranged.

Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

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Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

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Q: There are 12 different books on a shelf. In how many ways can we take 4 of these books and put them…

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: In how many ways can you arrange 5 distinct maths books, 4 distinct computing books and 3 distinct…

A: Given  5 distinct maths book, 4 distinct computing books and 3 distinct physics book

Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

Q: You have 5 Math books, 2 History books, and 4 Science books. How many ways are there to arrange the…

A: If there are n number of distinct objects out of which r objects are selected and then arranged then…

Q: 1. There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A: We are entitled to solve only 1 question at a time so I am providing the same. Kindly repost the…

Q: There are two copies each of 4 different books. In how many ways can they be arranged on a shelf?

A: GivenTwo copies each of 4 different booksTotal no.of books=2×4=8

Q: How many ways to arrange 5 books on the shelf exist if two definite books are not placed together.

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Q: From the deck of 52 playing cards, how many ways can 2 cards be drawn such that one is face card and…

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Q: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: Given there are 13 female board members and 17 male board members. To find number of ways are there…

Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the probability for selections formula, nCr = n!/(n-r)! * r!

Q: How many 4-letter words can be made from the letters MATH if repetition of letters is allowed?…

A: Given: Letters M , A , T ,H  We need to find number of 4 letter words that can be made.

Q: a shelf holds 2 english books, 3 history books and 4 math books. In how many ways can you arrange…

A: Given : Number of English books = 2 Number of history books = 3 Number of Maths books = 4

Q: There are 4 different Mathematics books and 5 different Science books. In how many ways can the…

A: 4 different Mathematics books  And,                              5…

Q: Six math books, four physics books and three chemistry books are arranged on a shelf. How many…

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Q: There are 4 different Mathematics books and 5 different Science books. In how many ways can the…

A: Total number of ways that the books can be arranged is 5760

Q: How many outfits can be constructed with 1 shirt, 1 pants, and 1 tie from a wardrobe of 2 shirts, 5…

A: The given problem is based on combination {Because order doesn't matter}. The combination of…

Q: In how many ways can you arranged 2 Math books, 3 Science books and 3 English books if only one book…

A: The total number of mathematics books are 2. The total number of science books are 3. The total…

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

Q: There are 10 guest at your home for a dinner party. In how many ways could the guests arrange…

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Q: Suppose you have a set of cups and saucers which are red, orange, green, light blue, dark blue, and…

A: Number of different coloured coffee cup=6 Number of different coloured saucer=6

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: From 6 English teachers and 5 Mathematics teachers, committee of 5 teachers will be organized. How…

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Q: A student has 4 different biology books, 4 different chemistry books, and 5 different physics books.…

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Q: Radio stations that are on the west side of a nation have call letters consisting of a K followed by…

A: The first letter is fixed with Z and is then followed by 4 letter( repetition allowed) Then,

Q: There are 6 different English books and 6 different Filipino books. In how many ways can the books…

A:

Q: How many ways are there to make a committee of 19 board members if exactly 5 must be female?

A: Given Data: The number of female board members is: f=11 The number of male board members is: m=19…

Q: There are 10 doors to a coliseum. In how many ways can a person go in and out if one can enter any…

A: There are 10 doors to a coliseum . A person can go in in 10 ways.

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

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Q: How many ways can 3 rhinestone,5 crystal and 2 precious metals be arranged into a bracele

A: To find how many 3 rhinestone,5 crystal and 2 precious metals be arranged into a bracelet.

Q: How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may…

A: To determine :  How many ways can 120 identical packages be loaded into 10 delivery trucks where…

Q: an ice cream store sells 4 drinks, in 3 sizes, and 8 flavors. In how many ways can a customer order…

A: Ice cream stored has, 4 drinks Each of 3 different sizes and each of 8 different flavours. To find,…

Q: There are 12 different books in a bag. In how many ways can we take 4 books from the bag and stack…

A: From the provided information, There are 12 different books in a bag and 4 books taken from bag.

Q: how many ways can the books be arranged on a shelf if books of the same subject must be placed…

A: here given  there are total 4 different mathematics books and 5 different science book here use…

Q: There are 4 different Mathematics books and 5 different Science books. In how many ways can the…

A:

Q: bookshelf has space for exactly 12 books. In how many ways can the books be arranged on the…

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Q: There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A:

Q: How many license plates are possible if they consist of 1 digit followed by 1 letter followed by 5…

A:

Q: An ice cream store sells 4 drinks, in 5 sizes, and 3 flavors. In how many ways can a customer order…

A: An ice cream store sells 4 drinks, in 5 sizes, and 3 flavors. The number of ways can a customer…

Q: I have nine books and have room to display only four of them at a time on my bookself. how many…

A:

Q: Suppose there are 8 male professors and 5 female professors teaching a Math class. How many ways can…

A: Sum rule principle:   Let E1 denote the first event that an occur in m ways and then E2 denote the…

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.