IN HOW MANY WAYS CAN 5 MATH BOOKS AND 3 ART BOOKS CAN BEARRANGED IN A ROW, IF NO TWO ART BOOKS WILL BE SIDE BY SIDE.

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

A:

Q: You have 6 math books and 6 history books to put on a shelf with five slots. In how many ways can…

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

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if each digit can only…

A: Digits: 1, 2, 3, 4, 5, 6, 7.

Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: Find the number of bags of 103 pieces of vegetables that can be made out of carrots, tomatoes,…

A: Consider the given Number of carrots in the bag=even Number of tomatoes  in the bag=multiple of 5…

Q: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

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: A student must answer 6 out of 8 questions on an exam. How many different ways can he do the exam?…

A: The objective of the question is to find out the number of ways a student can answer 6 out of 8…

Q: One person starts a rumour about how awesome math is. That person tells 8 people in about 1 hour. If…

A:

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: A team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

Q: Suppose that your schedule for next semester must consist of one natural science class, one liberal…

A: From the provided information, There are 3 natural science classes, 4 liberal arts classes, 6…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: You have 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has a side…

A:

Q: You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels…

A:

Q: The following is known about three numbers: Three times the first number plus the second number plus…

A: So, we have the system of equations as : 3a + b + 2c = 5 a + 3c - 3b = 2 2a + 3b - c = 1 So,…

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.