Suppose 8 red marbles are to be put into 10 numbered boxes with any number per box. In how many ways can this be done?

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

A:

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: From a list of 49 captains, 4 are to be promoted to major. In how many ways can this be done?

A: GivenNo.of captains=49No.of captains promoted as major =4

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings?

A:

Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

A:

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: suppose 4 marbles are dawn from an urn containing 5 red and 4 blue marbles, and the number of blue…

A: The probability distribution is binomial. Probability of the marble being blue=49=0.444

Q: A club with 29 members is to select a committee of five persons. In how many ways can this be done?

A: In a committee, we select the persons as a group. So the arrangement does not matter. So we will use…

Q: The local​ seven-digit telephone numbers in city A have 334 as the first three digits. How many…

A:

Q: A manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs. If 5% bulbs are…

A: It is given that a manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs.…

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: A business has hired 12 new employees and must assign 8 to the day shift and 4 to the night shift.…

A: We have given that  A business has hired 12 new employees and must assign 8 to the day shift and 4…

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: How many ways can 120 unique packages be loaded into 10 delivery trucks where each truck must have…

A: 120 distinct packages have to be distributed equally among the 10 trucks.

Q: Suppose that 4 Pistons need to be installed in a new engine block. there is a production run of 100…

A: Given, there is a production run of 100 Pistonsand 4 Pistons need to be installed in a new engine…

Q: A necklace consisting of 8 beads is to be made in a round rope. In how many ways can this be done?

A: given that 8 beads of necklace we can find this by using

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

A:

Q: How many ways are there to choose 3 applicants from 8 job-seekers for high-paying positions in an…

A: Given information- We have given that in an engineering company 3 positions are there and 8…

Q: How many ways are there to put 5 balls in 2 boxes if the balls are distinguishable and the boxes are…

A: Total number of distinct boxes=n=2 Total number of distinct balls=r=5

Q: From a cooler with 5 different kinds of​ soda, 3 are selected for 3 people. In how many ways can…

A: According to the provided data, there are five different kinds of soda in a cooler out of which 3…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

Q: From a list of 34 captains, 6 are to be promoted to major. In how many ways can this be done?

A: To write that in how many ways it can be done

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: In how many ways can three taxi drivers be assigned to nine cars?

A: The number of taxi drivers is 3 and the number of cars is 9.

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 Hokey teams of 6 players can be formed from 14 players without regard to position played?

A: Given ,no.of hokey players =14

Q: A grocery pick-up service has 12 appointment openings one morning. If 8 customers have signed up…

A: Combinations: It defines the number of possible ways an object can be selected from a group. In…

Q: A four-person committee is to be selected from an organization’s membership of 12 people.  How many…

A:

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

A:

Q: How many combinations are there of 26 letters taken items taken 2 at a time ?

A: The number of combinations  = nCr n : number of options available r : number of options to be…

Q: Suppose that 5% of teachers at a university attended a conference. If 4000 teachers are enrolled at…

A: Number of teachers enrolled at the university = 4000 percentage of teachers who attended conference…

Q: A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes…

A: Here , particular brand of shirt comes in 12 colors. It has female version and male version. And it…

Q: Suppose a 4-digit number will be formed from numbers 0,1,2,3,4,5,6,7,8, where each digit can only be…

A: Given, 4 digited numbers are to be formed from 0,1,2,....,8 without repetition. These numbers must…

Q: A contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: We have to find no. Of ways..

Q: A contractor builds homes of  11 different models and presently has 6 lots to build on. In how many…

A: We have to find the different ways can he arrange homes on these 6 lots...

Q: Assume that five men and five women are to sit in a row of ten chairs how many ways can these people…

A: Five men and five women are sitting in a row of ten chairs.

Q: A club with 23 members is to select a committee of six persons. In how many ways can this be done?

A: Given: The number of members in a club is equal to 23, To find: The number of ways of selecting a…

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: From a list of 50 captains, 4 are to be promoted to major. In how many ways can this be done? ways

A: It is provided that 4, r are to be promoted to major from a list of 50, n captains. As the order…

Q: How many numbers that the thief could try would be accepted as valid?

A: Given that the PIN consists of 4 digits. Note that for each digit, there are 10 possible choices,…

Q: 2) How many numbers are there between 6000 and 7000 which have exactly one of their digits as 7?

A: Since, we have to find numbers between 6000 and 7000 so the thousand's place must be occupied by 6.…

Q: A bus has 8 vacant seats in the first rows. If 3 additional passengers enter the bus, in how many…

A: For the number of ways of their seating, we need to use combination.

Q: Red and blue ceramic tiles are laid according to a pattern such that for every 22 red tiles used, 3…

A: Given that there are total 300 ties of Red and blue colour .according to pattern every 22 red…

Q: How many different ID cards can be made if there are 6 digits on a card and no digur can be used…

A: Given: Number of digits = 6 No digits is used more than once.

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.