A certain whole number less than 100 leaves the remainders 1, 2, 3, and 4 when divided respectively by 2, 3, 4, and 5. What is the whole number? The whole number is.

Q: For a segment of a radio show a disc jockey can play 5 records. If there are 9 records to select…

A: Given that for a segment of a radio show a disc jockey can play 5 records.  Total number of records…

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 committee of 4 boys and 5 girls is to be formed from a group of 8 boys and 10 girls. How many…

A: Say the given question is of combination or not combination .

Q: How many 12-digit numbers can be formed from 4 ones, 2 twos, 3 fives, and 1 six and 2 nines?

A: We want to find 12 digit number with given digits.

Q: How many ways can 4 men and 3 women be seated on a bench if the women are to be together? use…

A:

Q: What number has a remainder of 2 when divided by 3, a remainder of 3 when divided by 5 and a…

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Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: For a segment of a radio show, a disc jockey can play 10 records. If there are 15 records to select…

A:

Q: How many four-digit even numbers can you form from the digits 1, 2, 3 and 4?

A: We have to find the number of four-digit even numbers formed from the digits 1, 2, 3 and 4. Then we…

Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…

A:

Q: How many ways can 4 books be arranged on a shelf if the books are selected from a collection of 100…

A: Here we will use the concept of permutation Permutation = nPr = n!/(n-r)!

Q: How many ways can Marie choose 22 pizza toppings from a menu of 66 toppings if each topping can only…

A: Note: Thank you for the question. The question is considered as choosing 2 pizza toppings from a…

Q: six-digit numbers can be made using two 2's and two 3's?

A: Given that  We should made Six digit numbers Using two 2's and two 3's.   Since only two 2's and two…

Q: If 1/2 of a number, 1/3 of the number, 1/4 of the number, and 2/7 of the number are added together,…

A:

Q: Three concerned environmentalist started an organization that aims to help preserve mother earth.…

A: For the first meeting, three members attended the meeting first meeting = 1+1+1=3   for the second…

Q: how many ways can you arrange 23 books on a shelf that can only hold 7 books?

A:

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 eight digit telephone numbers are possible if the first two digits cannot be twos or zeros?

A: To find the number of ways

Q: 1. There are 1050 students this school year. If 35 of the total population is girls, find the number…

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

Q: How many 4-letter words can be made from the letters MATH if repetition of letters is allowed?…

A: Given: Letters M , A , T ,H  We need to find number of 4 letter words that can be made.

Q: For a segment of a radio show, a disc jockey can play 5 records. If there are 9 records to select…

A:

Q: can divide themselves up into groups of two

A:

Q: How many words of at most 4 letters can be formed with the letters of the word TUNE if letters…

A: Givennumber of letters in TUNE =4 T, U, N, E Repetition is permitted. The number of words with one…

Q: For a segment of a radio show, a disc jockey can play 8 records. If there are 13 records to select…

A: Given : Here we used permutations where order of selection is matter n = 13 c = 8

Q: In the fraction 3/11, the number 3 is called the _____ and the number 11 is called the _______.

A: The general form of the fraction is pq, where p and r natural number. So, in fraction pq, p is…

Q: For a segment of a radio​ show, a disc jockey can play 7 records. If there are 11 records to select​…

A:

Q: 96 pencils come in a box. If 4 teachers share 3 boxes equally, how many pencils does each teacher…

A: A box contains 96 pencils. So 3 box contain 3×96 = 288 pencils.

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

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Q: In an apartment complex there are 5 windows in each apartment, and 9 apartment in each floor. How…

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Q: A park bench can seat 3 people. How many seating arrangements are possible if 3 people out of a…

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

Q: If the first term and last term of an AP are 17 and 350 respectively,If the commom difference is…

A: The nth term of an A.P with first term a and common difference d is given by; an=a+(n-1)d Therefore…

Q: the

A: Given: Word = SARASAR There are three letters in this word S, A, and R Words starting with S and…

Q: How many words can be formed from the letters of the word: UNITED

A:

Q: For a segment of a radio show, a disc jockey can play 8 records. If there are 13 records to select…

A:

Q: How many different committees of 3 men and 4 women can be formed from 8 men and 6 women? solve by…

A:

Q: A shelter rescues 4 cats for every 5 dogs. If they rescued 48 cats how many dogs did they rescue?

A:

Q: For a segment of a radio show, a disc jockey can play 9 records. If there are 14 records to select…

A: For a segment of radio show, a disc jockey can play 9 records.If there are 14 records to select…

Q: an ice cream store sells 4 drinks, in 3 sizes, and 8 flavors. In how many ways can a customer order…

A: Ice cream stored has, 4 drinks Each of 3 different sizes and each of 8 different flavours. To find,…

Q: A class consists of 1/3 freshman,  1/6 sophomores, and 1/6 juniors, the rest are seniors. What…

A: A class consists of 1/3 freshman,  1/6 sophomores, and 1/6 juniors, the rest are seniors. Sum up all…

Q: A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $7 a pound…

A: 30 pound of coffee is worth $2 To find the quantity of coffee worth $7 added to the given coffee to…

Q: Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a…

A: Here we solve the problem by algebra.

Q: How many integers must you pick in order to be sure that at least two of them have the same…

A:

Q: How many distinct integers do we have to pick in order to have two that have the same remainder when…

A: To find - How many distinct integers do we have to pick in order to have two that have the same…

Q: If 135 students love their English class, and 80% more love their math class, then how many students…

A: Given that  If 135 students love their English class 80% more love their math class,  To find the…

Q: There

A:

Q: In how many ways can 10 engineers and 4 doctors be seated at a round table if no two doctors sit…

A: Given that 10 -- engineers 4 -- doctors In how many ways seated round a table if no two doctors sit…

Q: A candy manufacturer makes 7 kinds of brown chocolate candies and 3 kinds of white chocolate…

A:

Q: A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first…

A: Using the rules of Geometric progression we can solve for the statement

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 you select one card at random from a standard deck of 52 cards what is the possibility that the…

A: