In how many ways can you take 3 letters from the alphabet (lower-case only) such that any character can be taken multiple times?

Q: How many two-digit numbers can be formed from the digits 2, 4 and 6 if a. no digit is repeated in…

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Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: How many four digit numbers can be formed using the digits 1, 3, 4, 5, 7,9 if repetition of digits…

A: Given digits are 1,3,4,5,7,9 Total no of digits=6 No of four digit numbers if repetition is allowed…

Q: Find the number of the permutation of 8 different things taken 3 at a time

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Q: How many odd 4-digit numbers greater than 3000 can be formed from the digits 1, 5, 6, 7 and 8 if non…

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Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: How many three digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

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Q: How many ways can 6 ladies be seated in a circular table such that 2 of the ladies must always sit…

A: To find: The number of ways to arrange 6 ladies in a circular table such that 2 of the ladies must…

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

Q: In how many ways can 9 individuals be seated in a row of 9 chairs if two individuals wanted to be…

A: Permutation is the method that used to measure the number of arrangement in the data set. In this…

Q: How many 4-digit numbers can be formed with the digits: 1,1,2,2, without allowing the repetition of…

A: Given digits is1,1,2,2

Q: how many ways can Dr. Yes invite 8 of his friends if he has to invite at most 4 at a time?

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Q: how many different ways can a coach choose three players from 8 bench players to replace 3 of the 5…

A: He can select 3 of the 5 starting players in 5C3=10 ways. He can select 3 of the 8 bench players in…

Q: In how many ways can six men and five women be arranged in a row if no two women is standing next to…

A: Given,no.of mens=6no.of womens=5total no.of peoples=11

Q: How many ways are there to put 5 balls in 2 boxes if the balls are distinguishable and the boxes are…

A: Total number of distinct boxes=n=2 Total number of distinct balls=r=5

Q: In how many ways can you make any arrangement of 3 vowels and 5 consonants taken from the alphabet…

A: In how many ways can you make any arrangement of 3 vowels and 5 consonants taken from the alphabet…

Q: A true or false test consist of 10 questions. If all the questions are answered, in how many…

A: Given that all questions are true or false type. So each question has 2 choices.  There are total 10…

Q: How many ways are there to choose a dozen donuts from 18 varieties if there are only two varieties…

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Q: Suppose 8 red marbles are to be put into 10 numbered boxes with any number per box. In how many ways…

A: Given are 8 red marbles, let's denote them as R1, R2,R3,R4,R5,R6,R7 and R8 Also, there are 10 boxes,…

Q: How many three digit odd number can be formed using the digits 1, 2, 3, 4, 5 and 6 if repetition of…

A: According to rule of combination the number of ways to select r objects out of total n distinct…

Q: A jersey has two digit number.in how many ways can the number be arranged if 1)No double digit are…

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Q: How many different 5-digit odd numbers can be formed from 0, 1, 3, 4, 5, 7, and 9 if repetitions are…

A: Given:Total number of digits = 7 (0, 1, 3, 4, 5, 7, and 9 ) The divisibility rule for 5:The number…

Q: . How many numbers of 5 different digits can be made from the digit 1,2,3,...9? 2. How many numbers…

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Q: How many different license plates can be created of the form XXX – YYYY if the first three…

A: From 1-9 there are 9 digits So for the first three places, we can fill each place in 9 ways. So…

Q: In how many ways can 8 different pizza toppings be chosen from 14 available toppings? There are ways…

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Q: How many three – digit numbers greater than 300 can be formed with the digits 1, 2, 3, 4 and 5 if no…

A: According to the provided information, The digits are 1, 2, 3, 4, 5 and no repetitions are allowed?…

Q: How many 4-letter "words" can be made from 10 letters AGIMNORTUY if repetition of letters (1) is…

A: In letters of word 'AGIMNORTUY' all letters are unique  Therefore 4 -letter of word can be made if…

Q: How many 3 digit numbers can be formed from the digits 2, 4, 6, 8 and 9 if repetitions are allowed?

A: Solution: From the given information, the digits are 2, 4, 6, 8 and 9.

Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 0, which are divisible by 5…

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Q: A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes…

A: Here , particular brand of shirt comes in 12 colors. It has female version and male version. And it…

Q: How many different words can be formed with the letters of the word ‘SUPER’ such that the vowels…

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Q: In how many ways can this be done if the three adults are seated together and the five children are…

A: Given Information: There are 3 adults and 5 children. They are to be seated randomly in a row. Three…

Q: How many different 4-digit numbers can be formed from the numbers 2, 4, 5, and 8 if no digit is…

A: How many different 4-digit numbers can be formed from the numbers 2, 4, 5, and 8 if no digit is…

Q: How many three-digit numbers can be formed using the digits 2,3,4,5,6,and 8, if the number is to be…

A: Given:  The provided digits are 2, 3, 4, 5, 6, and 8. The repetition of digits is not allowed. For a…

Q: How many four-digit odd numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9?

A: Consider the given situation in the problem, we have four groups in which we have to make choice to…

Q: How many different five-letter code words are possible from the first ten letters of the alphabet if…

A: 5 letter codes out of first 10 letter of the alphabet ?if 1st letter can't be a vowel and adj…

Q: In how many different ways can 4 passengers be seated in an airplane if each passenger can select…

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Q: How many 7-digit numbers can be formed if repetitions are not allowed and the last number cannot be…

A: We have to find 7-digit numbers that can be formed if repetitions are not allowed and the last…

Q: how many ways can a group of 4 boys be selected from 9 boys?

A: We have to select 4 boys from 9 boys

Q: How many different numbers of 3 digits can be formed from the numbers 0, 1, 2, 3, 4, 5, 6 7, 8?

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Q: How many four-digit numbers can be formed from the numbers 1, 3, 4, 6, 8, and 9 if repetition of…

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Q: How many two-digit numbers can be formed using the digits from {2, 4, 6} if the following is true.…

A: Given: The digits are {2, 4, 6} Number of ways to form two-digit number without repetition…

Q: Red and blue ceramic tiles are laid according to a pattern such that for every 22 red tiles used, 3…

A: Given that there are total 300 ties of Red and blue colour .according to pattern every 22 red…

Q: In how many ways can 16 different pizza toppings be chosen from 20 available toppings? There are…

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Q: How many ways can a committee of 2 be selected from a club with 12 members?

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Q: How many three-digit numbers can be formed if only odd numbers are allowed to be re-used?

A: To find three-digit number that can be formed if only odd numbers are allowed to be re-used. Odd…