A television station must play twelve 30-sec commercials during a half-hour show. In how many ways can the commercials be aired?

Q: The local​ seven-digit telephone numbers in city A have 480 as the first three digits. How many…

A: Given, the local seven-digit telephone numbers in city A have 480 as the first three digits. There…

Q: How many license plates can be made using either three digits followed by three uppercase English…

A: 22,464,000 license plates can be made using either three digits followed by three uppercase English…

Q: A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

A:

Q: A manufacturer purchased 7,756,658 identical bolts. Each engine assembly uses 8 of these bolts and…

A: Total bolts used for each engine for assembling and transmission is,

Q: In how many ways can an advertising agency promote 12 items 6 at a time during a 12 - minute period…

A: Given that, n= 12 And = 6

Q: In how many ways can six books be lined up along a shelf?

A:

Q: Telephone poles are being stored in a pile with  25 poles in the first layer, 24 in the second, and…

A: Explanation: According to the question:  In a pile,  1st layer contains = 25 poles 2nd layer…

Q: The average age of a group of students is 12 years old. There are only 11-year- olds and 14-year…

A:

Q: A car manufacturer estimates that 25% of the new cars sold in one city have defective engine mounts.…

A: Given information:A car manufacturer estimates that 25% of the new cars sold in one city have…

Q: If a men working 6hours a day can do a work in 88days, then 6men working 8hours a day can do it in…

A: Given that men working 6 hours a day can do work in 88 days

Q: In how many ways can eight different DVDs be arranged on a shelf?

A: We need to arrange 8 DVDs

Q: A museum wishes to display six paintings next to one another on a wall. In how many ways may this be…

A: in this  question you  can take the highest number which in this case is 6 and multiply by the…

Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

Q: Question1:-If 6 seats are empty in a train box and two man entered in this coach than they seated…

A: Hi there! Thanks for the questions, since there are multiple questions we have solved the first…

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: Five of ten books are arranged on a shelf. In how Many waYS Can this be done?

A:

Q: 1. A nurse gives her patient one tablet every 45 minutes. How many tablets will she need for a…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

Q: A survey of 93 persons was conducted at TCC, and it was found that 53 persons carried a cell phone,…

A: Given, 1. people carried a cell phone or a tablet is

Q: Only 30% of teams beat The Great Escape Challenge. If 15 teams beat the challenge, how many teams…

A: It is given that 15 teams beat the challenge, which is the 30% of the teams that played The Great…

Q: In how many ways can 5 people be seated in a circular table?

A: The given question is a multiple question, so as per the rule , we are doing only first question:…

Q: 8. If 1500 students took the test, how many will NOT be awarded?

A: 8. From the given information, the probability for awarded is 30% P(awarded)=30%=0.30 P(not…

Q: A license plate is to have the following form: three letters followed by three numbers. An example…

A: There are 26 letters (A-Z) and 10 numbers (0-9) We can pick each letter in 26 ways and we can pick…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

Q: A fedex driver has time to make deliveries at 6 locations among the 9 locations remaining. How many…

A: Solution: From the given information, 6 locations are to be chosen among 9 locations.

Q: A golf-course architect has six linden trees, five white birch trees, and three bald cypress trees…

A:

Q: In a university examination, 65% of the candidates passed in English, 90% passed in the second…

A: Percentage of student passed in English is 65%. Percentage of student passed in Second language is…

Q: How many students were included in the collection?

A:

Q: 1. The population of the College of Business Administration has increased from 1, 260 to 1,440…

A: The population is increased from 1260 to 1440. Previous faculty number is 35.

Q: How many blocks are needed to build an​ up-down-up staircase with 5 steps up and 5 steps​ down?

A: To solve the given problem

Q: In a league of nine football teams, each team plays every other team in the league exactly once. How…

A: Given football league consisting of 9 teams, each team play each other team exactly once

Q: An interview of 50 women in a residential subdivision reveals that 21 are gardeners while 32 are…

A: given: an interview of 50 women in a residential subdivision reveals that 21 are gardeners while 32…

Q: If 120 more people showed up to Shakespeare in the Park than are here now, there would be 9 times as…

A:

Q: how many men will be required?

A: Eight men can paint a building in three days. Assuming that men work at the same rate, and the…

Q: an automobile that was tested for production defects, but assume that the number of production…

A:

Q: A company owns buses that hold only 25 people. How many of these buses are required to transport 107…

A:

Q: If 1% of a shipment of 2000 light bulbs is defective, how many bulbs in the shipment are NOT…

A: Given, 1%  of a shipment of 2000 light bulbs is defective i.e, number of defective bulbs = 2000 *…

Q: How many different signals can be made by hoisting three yellow flags, two green flags, and two red…

A: Given yellow flags=3 green flags=2 red flags=2

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: According to the given data, how many possible research paper combinations can be written about…

A: here given , The students in an eighth-grade Social Studies class were assigned a research paper.…

Q: In a group of seventeen people, each person shakes hands once with each other person in the group.…

A: Shaking hands in a group involves pairings of two people in all possible ways. Let we have N people…

Q: how many ways can the books be arranged on a shelf if books of the same subject must be placed…

A: here given  there are total 4 different mathematics books and 5 different science book here use…

Q: If the cube had only been rolled 50 times, how many times would you expect a shm GREATER than 9 to…

A: From the table, we see that the sum of greater than 9 rolled (11+4+3)=18 times. In the table total…

Q: How many poles will there be in a stack of telephone poles if there are 58 in the first layer, 57 in…

A:

Q: How many ways are there to distribute 4 (identical) tomato plants and 5 (distinct) succulents, each…

A: Reviewing information, No. of tomato plants= 4 No. of succulents= 5

Q: If a cube had been rolled 200 times, how many times would you expect a sum of 2 to be rolled?

A: From the table, we see that the sum of 2 rolled 3 times. In the table total number of rolls= 3+2+…

Q: A survey of volleyball players found that 15 ran a mile every day, 10 lifted weights every day, and…

A: Let ,r=a player ran a mile every dayw=a player lifted weights every daygiven,n(r)=15n(w)=10n(r∩w)=3

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  Decorum…

A: For every three-letter combination outlawed, the number of possible plates that get removed is given…

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Number of letters = 4 Number of digits = 5 The letters are followed by digits.

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.