A boy imagined a four-digit multiple of 5 with different digíts. If the first digit is erased, the obtained number is multiple of 9. If the second digit of the imagined numbe is erased, the obtained number is multiple of 11. If the third digit of the imaginec number is erased, the obtained number is multiple of 7. What number a boy imagined?

Q: A contest consists of finding code words that can be formed from the letters “MEEST”. Assume that…

A: Given word MEEST, Letters = {M,E,E,S,T} Since the letter E is repeated twice then number of words…

Q: A Zoom class has 48 students, and for an in-class activity they will be going into breakout rooms in…

A: a) The number of different breakout room assignments if the breakout room numbers matters is,…

Q: When you round 32445.34 to 2 significantdigits, your response would be

A: Rounding to significant figures means rounding a number to nearest tens, hundreds,  thousands etc.…

Q: t is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is used…

A: Given Information: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8.…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: How many 4 digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be…

A: The given digits are 0, 1, 2, 3, 4, 5, 6 4-digit numbers are formed using these numbers.

Q: How would I go about answering this question?

A:

Q: How many three digit numbers have the property that the sum of that number and the three digit…

A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: A cube of 5 cm is painted on all its faces .If it is sliced into 1 cubic centimetre cubes , how many…

A:

Q: Your school locker has a dial with 50 numbers which required 3 numbers to open.  (It is not a…

A: Your school locker has a dial with 50 numbers which required 3 numbers to open. (It is not a…

Q: A witness to a hit-and-run accident immediately reported to the police, although he could no longer…

A: Given that a license plate contained three letters, and the second letter was anything after T. The…

Q: A boy imagined four-digit multiple of 5 with different digits. If the first digit is erased, the…

A: Suppose the number be xyzw and x,y,z,w are different numbers. Now the number is multiple of 5. so W…

Q: What is the possibility of one person getting what he want out of 3.905 billion others who wants the…

A: Introduction: The given person, and 3.905 billion other people want the same thing.

Q: How many four-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 (a) if each digit…

A: We have to find total number of four-digit numbers :

Q: How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters (a)…

A: Solution: 39. From the given information, the 10 letters are “FGHIJKLMNO”.

Q: A boy imagined a four digit number multiple of 5 with different digit .if the first digit erased,…

A:

Q: selected from a group of 11 Republicans and for Democrats. Find the number of ways of obtaining a…

A: Given that   Committee consists of members (r) = 7 Committee need to be selected from group of 11…

Q: f n ∈ n and n<2000 , how many numbers n have the property that the sum of the digits of n and the…

A: Given, if n∈ℕ and  n&lt;2000.

Q: How many 4-digit odd numbers can be made from the digits 0; 2; 4; 5; 8; 9 if the number has no…

A:

Q: How many 4 digit numbers can be formed from the digits 0,1,2,3,4,5, and 6 if each digit can be used…

A: 1. we will first find how many 4 digits numbers can be formed. To formed 4 digit numbers from…

Q: A boy imagined a four digit multiple of 5 with different digits. If the first digit is erased the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: How many three-letter "words" can be made from 9 letters FGHIJKLMN'' if repetition of letters (a) is…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: A number is divisible by 6 if the sum of the digits of the number is divisible by 3 and the number…

A:

Q: How many 3-digit number can be formed from the digits 0,1,2,3  a. if no two digits are to be the…

A: * SOLUTION :-  from the given information the calculation is given below

Q: When 32 is divided by an integer, the remainder is 4. When 51 is divided by the same integer, the…

A: We can use concept of HCF to solve the problem

Q: The number of 3-digits numbers that can be formed without repetition from the numbers 2.3.5.7 and 8…

A:

Q: A briefcase lock opens with the correct 4 digit code. If the digits can be any number from 1-9 with…

A: Given: Digit is from 1 to 9   Unit must be = 3,6,9 that mean 1 of these 3 Other 3 are from 1-8 ,…

Q: You need to have a password with 55 letters followed by 22 odd digits between 00 and 99, inclusive.…

A: In this context, it is appropriate to have a password with 5 letters followed by 2 odd digits…

Q: How many three-letter "words" can be made from 6 letters "FGHIJK" if repetition of letters (a) is…

A: Given 6 letters is "FGHIJK"

Q: If the die above is rolled 120 times, predict the number of times it would land on a multiple of 3.…

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

Q: How many four digit codes can be made out of the digits 0,2,4and 8 if the repetition of digits is…

A: We have to find four digit codes can be made out of the digits 0,2,4and 8 ....

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: If n∈N and n<2000 , how many numbers n have the property that the sum of the digits of n and the sum…

A:

Q: If the average of 5 integers is 300, if the average of the first 2 integers is 100, and the the…

A: given: the average of 5 integers is 300. the average of the first 2 integers is 100. the average of…

Q: How many 3 digit numbers may be formed from the digits 0,1,2,3,4, & 5 if no digit may be repeated…

A: We have to form 3 digit numbers which are less than 330 using the digits 0, 1, 2, 3, 4 and 5. Let…

Q: the probablity that a radio will last more than 4 years is 0.91. from a batch of 300 such radios,…

A:

Q: “If the product of two counting numbers is an even counting number, then both of the counting…

A:

Q: A boy imagined a four-digit multiple of 5 with different digits. If the first digit is erased, the…

A: We have a four-digit number multiple of 5 with different digits Case-i let ABCD be the four-digit…

Q: From the digits 0, 1, 2, 3, 4, and 5, how many 3-digit numbers can be formed if digits may be…

A:

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Given: Total letters = 26

Q: If there were a 1000 runners in a race, how many of them got a z score of 3 or better for the race

A:

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: Suppose your school has 1000 students. Why can you be pretty sure that some pair of them will have…

A: Given that there are 1000 students in school. We need to check if there are some pair of students…

Q: many even four-digit numbers can be formed from the digits 0, 1, 2, 5, 6, and 9 if each digit can be…

A:

Q: How many 3-digit multiples of 5 can you form using the digits and 9 without repetition?

A: Please see the below picture for detailed solution.

Q: If n EN and n < 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Given: n∈ℕ And n&lt;2000

Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-r)!

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.