3. Marty is a bookworm and he has various collections of novels, series and other story books. If he has 6 hardbound books and 7 soft bound in how many ways can he pair one hardbound and one soft bound?

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: Alice, Bob, Carl, and Diane are going to be coaches for a children's bas- ketball tournament. There…

A: Given: Number of coaches=4, total number of children's=20 and each team consist of 5 players.

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: Steve wants to download a selection of new music. How many ways can Steve select four rock songs,…

A: Multiplication principle: It states that if there are n ways of doing something, and m ways of doing…

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

A:

Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: 2. Claire has 100 baseball cards. He wants to place the cards in three stacks so that the second…

A: We need to find number of cards in first,second and third stack We need to find  how many stacks…

Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

Q: Your little cousin will have a big animal-themed birthday party and you will help with goody bags.…

A:

Q: There are 5 grade 12s, 4 grade 11s, 3 grade 10s, 2 grade 9s. How many ways can a president, vice…

A: Solution

Q: Bryan had some apples. He put 1/3 of the apples and another 4 into basket A, 1/3 of the remaining…

A: Let Bryan had x apples. He put 1/3 of the apples and another 4 into basket A, i.e. x3+4 apples in…

Q: A group of boys shares some cards among themselves. If each of them tried to take 8 cards each, the…

A:

Q: Suppose that we wish to seat 12 people, 6 men and 6 women, in a row of 12 chairs. In how many ways…

A: We have given thatSeat of 12 people Number of men = 6Number of women = 6

Q: teacher prepares 12 assignments for her 3 students. How many different ways can the assignments be…

A: GIVEN DATA,A TEACHER PREPARES 12 ASSIMENTS FOR 3  STUDENTS WE HAVE TO FIND OUT THE NO OF WAYS CAN…

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: one family has comfortable children, with four daughters and two sons from a village of 1000 houses,…

A: As per given by the question, one family has comfortable children's with four daughter and two son…

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

A:

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: A group of 30 students plan to take classes. If 13 of them will take English, 17 will take Biology,…

A: A group of  students plan to take classes. If  of them will take English,  will take Biology,  will…

Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition.  The…

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: A student has a choice of four professors for English, four professors for Mathematics, and two…

A: Total no.of English Professors = 4 Total no.of Mathematics Professors = 4 Total no.of Health…

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

Q: A school has all of the fourth-grades in 4 rooms Room A, B, C, and D. Room B has 5 fewer students…

A: Let Room B has x number of students.  Room B has 5 fewer students tahn room C.  So, the number of…

Q: In how many ways can this be done?

A: A catering service offers 3 appetizers, 7 main courses, and 5 desserts. A customer is to select 2…

Q: How many possible license plates can be issued with two letters followed by three numbers?

A: The state issues license plates consisting of letters and numbers. There are 26 letters and the…

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

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: Most courses offered at a local university worth either 4 or 5 credit hours. The members of the…

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.