There are 10 books in the box, 4 of them are art books. a) In how many ways can you select 5 books if 2 of them must be art books ? b) In how many ways can you arrange 5 books on the shelf ?

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a…

A: We use permutations and combinations. Number of ways to arrange n objects in n places is n! Number…

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? Your answer is :

A: Consider the formula for the n objects taken r at a time is, Cn,r=n!r!n-r! Then, the number of ways…

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings?

A: We have given that 2 pizza toppings be chosen from 12 available.

Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

A:

Q: Nine people are going on a Siargao trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In…

A:

Q: In how many ways can 6 differently shaped blocks be taken to arrange in a cabinet with 4 empty…

A:

Q: In how many ways can 12 students be partitioned into 3 teams so that each team would have 4 members?…

A:

Q: 2. How many ways can a postman post 3 letters in 5 letter boxes?

A:

Q: In how many ways can you arrange five books along a shelf, assuming that the order of the books…

A: Given  arrange five books

Q: B. In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads be arranged in a…

A: Given: Red beads= 2 Blue Beads = 3 Yellow Beads =2   5). Therefore by circular permutations, since…

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: In a school of 200 students, a math team, consisting of 15 students, is to be formed. Two team…

A:

Q: . How many ways can 3 oranges be chosen from a fruit bowl that contains 11 oranges?

A: We are asked to find the number of ways to choose 3 oranges from 11 oranges

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a…

A:

Q: (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one…

A: a. The total number of ways of dividing 10 paintings into 8 boxes so at least one painting in each…

Q: In a club with 5 male and 9 female members, how many 5-member committees can be chosen that have at…

A: We have to find no. If ways to arrange.

Q: In how many different ways can ten books be arranged on a shelf?

A: Given that there are ten books available to arrange them in shelf.

Q: 10 officials were asked to sit in a round table. In How many ways can they be seated?

A: given  10 officials were asked to sit in a round table

Q: In how many ways can a customer order a​ drink

A: From given data : An ice cream store sells:  3 ​drinks, in 4 ​sizes, and 4 flavors

Q: 1. How many students like either Realistic Fiction, Mystery or both? 2. How many children like all 3…

A: Hi, Thank you for the Question. Since you have posted multiple questions we will answer the first…

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

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

Q: A classroom has 8 vacant chairs, 3 in the front row and 5 in the back row. In how many ways can 5…

A: Let us assume there are three students A, B and C sitting beside each other. The different ways in…

Q: In how many ways can 3 pizza toppings be choosen from 12 available toppings? Your answer is: -…

A: Given,            3 pizza toppings can be choosen from 12 availabe toppings.

Q: Determine the number of ways such that 5 men and 5 women be seated at a round table if no two women…

A: No. of men = 5  No. of women = 5

Q: How many ways to arrange 7 books on the shelf exist if two definite books are not placed together?

A:

Q: 2. At Mang Amang's Eatery, you can choose from 7 viands, plain or fried rice, 3 kinds of beverages…

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Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

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

A:

Q: From the 10 male and 7 female sales representatives for an insurance company, a team of 4 men and 2…

A: Given that from the 10 male and 7 female sales representatives for an insurance company a team of 4…

Q: Is 10 appetizers, 5 maln courses, and 11 desserts. A customer is to select 3 appetizers, 3 main…

A:

Q: In how many ways can 8 different pizza toppings be chosen from 14 available toppings? There are ways…

A:

Q: The number of ways of choosing ten students from a class of twenty-five is the same as the number of…

A: So in this we have to find the both then evaluate to see both are same so for this I'm providing…

Q: Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers respectively. In…

A: Given Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers…

Q: 3. License plates are made using 2 letters followed by 3 digits. How many plates can be made, if a)…

A: Given that  License plates are made using 2 letters followed by 3 digits. The license plate contains…

Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…

A:

Q: How many ways are there in choosing 3 books from a shelf of ( 83 ) books ?

A: The number of way for choosing 3 books from a shelf of 83 books is C383 =83!3!×(83-3)!…

Q: . Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: How many ways are there to stack an ice-cream cone with 4 scoops if the choices are a. cookie dough,…

A: To calculate the total number of ways to take an ice-cream cone with 4 scoops if the choices are…

Q: In how many ways can 4 bottles containing different drugs be arranged on a medicine cabinet?

A: In how many ways can 4 bottles containing different drugs be arranged on a medicine cabinet?

Q: had a number of colored marbles in a bag. - of the marbles were red, of the remaining marbles were…

A: Simple calculation

Q: How many ways are there in choosing (55+1) face mask  from a box of  (55+3) face masks?

A: From the given information, choosing (55+1=56) face mask  from a box of  (55+3=58) face masks.…

Q: Assume that a bakery has 7 different types of cakes. How many different ways can 5 cakes of any type…

A: We have total 7 cakes  From the 7 cakes, we have to pick a group of 5 cakes. So the arrangement does…

Q: A club with 25 members is to select five officers (president, vice president, secretary, treasurer,…

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: A major league baseball team has 40 players of which 25 are considered active. a.) How many ways are…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In how many ways can 16 different pizza toppings be chosen from 20 available toppings? There are…

A:

Q: If 4 Maths books are selected from 6 different Maths books and 3 English books are chosen from 5…

A: Solution  Given That,  If 4 Maths books are selected from 6 different Maths books and 3 English…

Q: 2. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5…

A: Find the number of ways of arrangement

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.