combination lock requires three selections of numbers, each from 1 through 30. a. How many different combinations are possible? b. Suppose the locks are constructed in such a way that no number may be used twice. How many different combinations are possible?

Q: 9 children are to be seated on a bench. How many ways can the children be seated and ordered on the…

A:

Q: 2-) club officers: If a club consists of 10 members, how many different arrangements of president,…

A: Given that ; Total A club has 10 members i.e. (n) = 10  Total posts are (r) = 3  By usin…

Q: How many different lock combinations are possible?

A: here lock is made of 3 letters letters are A...........Z total 26 letters are available

Q: 11. There are 8 women and 10 men in the math department. (a) How many ways can a committee of 4…

A: Given that, there are 8 women and 10 men in the math department. We need to find: (a) How many ways…

Q: 6.) During an offer from GAIA Computers, a customer who purchased a computer and printer was given…

A: Combinations: The combination is defined as the number of possible arrangements in a collection of…

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: five-card poker hands containing exactly one pair are possible from a deck of 52 cards:

Q: A birdcage contains 4 macaws, 4 parrots, 4 canaries, and 4 finches. Each group has a bird of the…

A: 1. a. A bird is selected at random we have to find the number of ways a blue bird can be chosen.…

Q: b) A committee of four people is to be chosen from a group of nine candidates, consisting of five…

A: Solution : Given that ,    Group of candidates N=9    Number of women = 5    Number of man = 4    We…

Q: How many ways can a Captain, Vice-captain and team manager be chosen from a team of 22 persons

A: Given

Q: In how many ways can be 10 married couples sit around a table if a. There are no restrictions? b.…

A: Here we will use the concept of permutations to solve the problem

Q: Ty's wardrobe consists of: • 10 unique shirts • 4 unique pants • 8 unique matched pairs of socks and…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…

A:

Q: =) A laboratory cage contains eight white mice and six brown mice. Find the number of ways of…

A: To find the number of ways of choosing five mice from the cage if i) They can be of either colour…

Q: In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific…

A: Total persons  = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…

Q: The chess club has six members. ​(a) In how many ways can all 6 members line up for a​ picture? ​(b)…

A:

Q: b) A catering service offers 7 appetizers, 9 main courses, and 8 desserts. A banquet committee…

A: Given : 7 appetizers, 9 main courses, and 8 desserts.

Q: 47. The membership of a particular club consists of 8 men and 4 women. If no one may hold more than…

A: Note: As per Bartleby Guidelines, only 3 subparts of a question can be solved at a time. so kindly…

Q: 1) A basketball team contains 20 players. If 5 people can be on the court at one time, how many…

A:

Q: A bag contains 11 pieces of candy. In how many ways can four pieces be selected? way(s)

A: To find: The number of ways of 4 pieces of be selected.

Q: c) A combination lock has 10 different single digit numbers to choose from and make a number with…

A: The number of total digits to choose in the lock are 10. The number of digits used to open the lock…

Q: 3. The environment club is electing a president, vice president, and treasurer. How many different…

A: Here, we have to choose 3 person out of 12, thus this is a combination question So, the answer is =…

Q: 7) A tourist in France wants to visit 12 different cities. How many different routes are possible?…

A: Answer of q-7    12 different city to visit We have to find nom of different routes possible Here…

Q: Seven cards are marked with the numbers 1, 2, 3, 4, 5, 6, and 7, then shuffled, and two cards are…

A:

Q: A student is to answer 10 out of 15 questions on a midterm test.         a. How many examination…

A: Given that  A student is to answer 10 out of 15 questions on a midterm test. Total number of…

Q: A Factory building has six entrance doors. In how many ways can a person enter and leave a.)  By any…

A: A factory building has six entrance doors. a) By any door In this case person enter in 6 ways and…

Q: a) How many different ways are there to make a passcode? b) How many outcomes are there where the…

A: here use counting principle here passcode is made up of 7 characters  4 digits from 0 to 9 2 letters…

Q: A class contains 9 boys and 3 girls. (i) In how many ways can the teacher choose a committee of 4?…

A: It is an important part of statistics. It is widely used.

Q: 2. They notice that the Armak Jeepney is for registration. The two sisters know that a vehicle…

A: The license plate consists of 3 letters followed by three digits. There are 26 letters (a-z) and 10…

Q: b) In how many different ways can five friends sit for a photograph of five chairs in a row?

A: Given :              There are five friends sit for a photograph in a row of five chairs.…

Q: 3. Nine friends consisting of seven girls and two boys bought a ticket for a theater. In how many…

A: Given that, Nine friends consisting of 7 girls and 2 boys bought tickets for a theater. We need to…

Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: In how many ways can 5 students line up for a registration?

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

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are…

A: As per guidelines expert gave to answer first question only

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

A: Here Given 60 Students  Now Assume that there is 365 Days in one year

Q: If 6 horses are racing at a track, how many ways can 3 horses take place in the top 3 places? O 18 O…

A: Given: Number of horses = 6

Q: a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first…

A: It is widely used in statistics . It is a fact of combinatorics .

Q: (a) In how many ways can 13 cards be selected from a deck? (b) In how many ways can 13 cards be…

A: There are 52 cards in a deck we need to select 13 from a deck of 52 cards 13 cards can be selected…

Q: Powerball lottery requires choosing five of the numbers 1 through 59 and one number from 1 through…

A: Consider the provided question, 5 number can select from 59,  C559 ways. and, 1 number can select…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25.…

A: 1 to 25 there are 25 numbers. The numbers may repeat in the combination. For the first number, there…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20.…

A: a) For each number we have 20 choices. Each position is independent of other positions  So by…

Q: How many permutations doesaa combination lock have if each combination has 3 numbers, no two numbers…

A: Permutation and combination : Permutation and combination are two distinct methods of representing a…

Q: 1. In how many ways can 10 people line up for a bus ticket? Answer: There can be possible ways.

A: Apologies. We only answer one question at a time. We will answer question 1 as the exact one wasn't…

Q: Major League Baseball teams maintain a 25- man roster and also a 40- man roster. Players on the 25-…

A: Provided information is, major League Baseball teams maintain a 25- man roster and also a 40- man…

Q: There are forty-nine ways to select a president and secretary if one person can hold both offices.…

A:

Q: 15. There are twelve employees at the sub shop. How many ways can the manager choose four for the…

A: #15 solve

Q: . a) How many ways can 6 people be lined up to get on a bus? o) If a certain 3 persons insist on…

A:

Q: 2. A combination lock has 4 wheels, each labeled with the 10 digits from 0 to 9. (a) How many 4…

A:

Q: License plates in a certain state follow the format: four letters, followed by three digits. In…

A: GivenLicense plates in a certain state has four letters followed by three digitsNo.of letters from…

Q: In how many different ways can a president, vice-president, secretary, and a treasurer be selected…

A: