if a clock strike the appropriate number of times on each hour, how many times will it strike in one day?

Q: How many three-digit numbers can be formed of the digits 1, 2, 3, 4, 5, and 6 if each digit can only…

A: There are 6 numbers. The required three digit numbers can be formed using the numbers 1, 2, 3, 4, 5,…

Q: A television station must play twelve 30-sec commercials during a half-hour show. In how many ways…

A:

Q: How many different license plates can be made if each is to display 3 numbers and 3 letters?

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

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: How many three-number combinations are possible on a combination lock having 40 numbers on its dial…

A: We have , total 40 number on dial and we have to find the combination lock of 3 digits. Since , the…

Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if each digit can only…

A: Digits: 1, 2, 3, 4, 5, 6, 7.

Q: A combination lock uses 3 numbers, each of which can be 0 to 23. If there are no restrictions on the…

A:

Q: In a certain city in the Philippines, all seven-digit telephone numbers begin with 350. How many…

A: Given :  Number of digits in telephone number = 7 First three digits are 350. Last four digits…

Q: A softball league has 13 teams. If every team must play every other team once in the first round of…

A: We are given that there are 13 teams and every team needs to play against every other team. For exam…

Q: How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears…

A:

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: A combination lock uses 4 numbers, each of which can be 0 to 26. If there are no restrictions on the…

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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: What is the sun of the first 50 consecutive odd numbers? What is the sum of the first 1,000…

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Q: A biologist is growing bacteria in the lab. For a certain species of bacteria, she records these…

A: From the provided information, The data values are as follow: 41, 45, 39, 42, 38, 88, 43, 40, 44,…

Q: A credit card company gives each of its customers a 4-digit PIN where each digit is selected from…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

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 combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restríctions on the…

A:

Q: mr smith waters one of his plants every 10 days and another plant every 14 days. if he waters both…

A: Given, Mr. Smith waters one of his plants every 10 days and another plant ever 14 days. he waters…

Q: A combination lock has a dial with 30 numbers from 1 through 30.  How many three-number combinations…

A:

Q: ou are to form a 4-digit number from the digits 1, 2, 3, 4, 6, and 8, using each at most once. How…

A:

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5 and 7 if each digit can…

A: i) Since we need a four-digit number, the first digit can never be zero. Thus, the number of ways to…

Q: If there are 1022 different classes at a university, how many different rooms are required in order…

A: according to question, 1022 different classes are there at a university and we have to schedule all…

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 5, and 6, if each digit can be…

A:

Q: If 5 people finish the whitewashing of a house in 3 days, in how many days will 3 people finish the…

A: Given, 5 people finish the whitewashing of a house in 3 days.       To find, How many days will 3…

Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

A:

Q: How many minutes are there in a solar year(365.24 days)?

A: How many minutes are there in a solar year (365.24 days)?

Q: A 7 digit phone number consists of numbers 0 - 9. How many different combinations can be made if the…

A: Given ,number digits from 0 to 9=10

Q: The access code for a car security system consists of four digits. Each digit can be 0 to 9, How…

A: Givena car security system consists of 4 digits each digit can be 0 to 9

Q: The freshman basketball team has ten players. Only five can play on the court atone time. How many…

A: Given problem:- The freshman basketball team has ten players.Only five can play on the court atone…

Q: A softball league has twelve teams. If every team must play every other team once in the first round…

A: Topic: Permutations and combination

Q: In a large math conference with 2022 participants, each person shakes hands with some number of…

A: For 'n' number of participants the maximum number of handshakes is n(n-1)/2.

Q: Suppose that 6 machines can complete a certain task in 9 days. If there are 18 machines, how many…

A: Concept: If number of machine increase then number of work completion day will decrease . Hence Both…

Q: How many seven-digit numbers can be made from the digits 1 to 9 if repetition is allowed?

A: Given that  To find the number of ways of 7 digit number can be made from the 1 to 9

Q: A company buys 9 computers, and it plans to connect each pair of computers by a cable (one cable per…

A: Given that there are total 9 computers. They will connect each pair of computers. That means we have…

Q: How many numbers in the range 1000 - 9999 have a repeated digits?

A: They are 4 digits number

Q: The human eye blinks once every 5 seconds on average. Howmany times does the average eye blink in…

A: Convert hours and day into seconds and then calculate as below

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: A log cabin quilt is 24 years old and a friendship quilt is 6 years old. In howmay years will the…

A: Let in x years will the log cabin quilt be three times as old as the friendship quilt.After x years…

Q: Suppose person X was infected by a virus and it gets to infect three persons in a day. Each of these…

A: Suppose person X was infected by a virus and it gets to infect three persons in a day. Each of these…

Q: Astronomers have estimated that the Milky Way galaxy contains 100 billion stars. Express this number…

A: 100 billion stars.

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: A lock uses 3 numbers as an unlock code, each of which can be 0 to 19.  If there are no restrictions…

A: Given: 3 numbers to unlock the lock.

Q: In a certain state, license plates each consist of 3 letters from the English alphabet, followed by…

A: There are 26 letters (A-Z) in the English alphabet and 10 digits (0-9).   Use the fundamental…

Q: If an Iphone password can have 4 or 6 digit passwords how many combination can there be if there has…

A: Iphone password can have 4 or 6 digit passwords. There are 10 digits in the number system,…

Q: How many even three-digit numbers can be formed from the digits 1,2,3,5,6,8 and 9 if each digit can…

A:

Q: There are 150 flights expected to take off or land within one day at the planned Pickering airport.…

A: Total Flights = 150 Given that 92% of the flights are expected to be on time which means that 8% of…

Q: If it takes 1029 digits to number the pages of a book starting with page​ 1, how many pages are in…

A:

Q: There are 45 different time periods during which each class at a university can be scheduled. If…

A: Given: There are 45 different time periods during which each class at a university can be scheduled.…