10. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is divisible by 2 and repetition of digits is not allowed?

Q: In how many ways can the letters of the word HORRAR be arranged if vowels are together?

A: Given information- We have given the letters of the word- HORRAR We have to find a number of ways to…

Q: 1. How many five-digit numbers can be formed from the digits 3, 4,5,6 and 7? a. no repetition of…

A:

Q: 8. Given 1, 2, 3, 4, 5, 6, 7, 0, 9, how many 4-digit numbers can be formed if it must be divisible…

A: We have to solve question number 8

Q: 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5, 6, 7, 8,…

A: Given that, 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5,…

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits…

A: In this question, concept of combination is applied. Combination A combination is a mathematical…

Q: How many 3-digit numbers can we make using the digits 2, 3, 4, 5, and 6 without repetitions?

A: here available digit 2,3,4,5 and 6 total 5 digits available

Q: 17. The number of 3-digit numbers less than 500 that can be created if the last digit is either 4 or…

A: We have to form 3 digit numbers less than 500 with last digit is either 4 or 5

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

A: As we want our 3-digit number to be divisible by 5, the number 5 will be fixed on the unit's place…

Q: 24.The vehicle registration plates in a European country consists of 3 letters followed by 3 digits.…

A: number of consonant=21 (no vowels) number of digit=10 i.e 0,1,2,3,4,5,6,7,8,9 we want to find  how…

Q: a) How many different license plates are possible if each contains 2 letters​ (out of the​…

A: We solve this question by using permutations If characters are not repeated then the total number of…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions?

A: From the provided information, The digits are as follow: 2, 3, 4, 6, 7 Total numbers = 5

Q: How many four-digit odd numbers less than 5000 can be formed using the digits 2, 3, 4, 5, 6, and 9.

A: Given:  Using the digit 2,3,4,5,6 and 9  We need to find how many four digit odd  number be formed…

Q: 1. How many 3 or 4 digit even numbers greater than 700 can be formed by: a. Using the digits 0-9.…

A: Let there are three chairs A, B and C in one side of a table. The different ways in which these…

Q: Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: Given Information: Digits = 2, 4, 6, 7 and 9 To find how many five-digit numbers can be formed if…

Q: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 & 8

Q: 1. How many odd four-digit numbers can be formed from 0,1,2,3,4,5,6,7,8,9 if each digit can be used…

A: here as per guidelines i have calculated first main question    here use counting principle

Q: Assume that you select digits from the set {2,3,5,7} to form a number between 20 and 700. (1) How…

A: The given set of digits is 2,3,5,7 and the range of numbers is 20 to 700. There would be 2 digit…

Q: 5. a. How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b.…

A: There are five digits 2, 3, 4, 6, 7  we have to find 3-digit numbers that can be formed from the…

Q: 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5, 6, 7, 8,…

A: There are total 52 cards in a deck.  There are 13 hearts and 4 queens in the deck.  The probability…

Q: How many 5-digit numbers can be formed using the digits 0 to 9 if repetitions are allowed?

A: Total number of digits allowed are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,

Q: 4. How many 5 digit numbers can be formed if a) the digits 2-8 are available and there must be at…

A: 4. It is required to form 5 digit numbers under two different sets of conditions.

Q: How many 7-digit telephone numbers are possible if the first digit cannot be four and (a) only even…

A: Note: Thank you for the question. As you have posted multiple sub-parts, we have solved the first…

Q: How many four​-digit numbers may be formed using elements from the set ​{1, 2, 3, 4, 5, 6, 7​} if…

A:

Q: How many ways can these numbers be arranged? How many numbers greater than 4,000,000 can be formed…

A: Here use combination

Q: A four digit number is to be formed from the digits 0, 2, 5, 7, 8. How many numbers can be formed if…

A:

Q: 5. From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, if six-digit numbers are to be formed and…

A: 5) Total number of digits to be used 8 Unit digit can hold any of the 4-digits; 3,5,7,or 9 for an…

Q: How many odd four-digit numbers in which all digits are different can be formed from the digits…

A: Given numbers : 1, 2, 3, 4, 5, 6, 7 Total no. of digits given = 7 We have to pick 4 numbers and…

Q: (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if…

A: The counting can be done in 2 different ways, i.e. in first case the 1st digit can be 3 and in the…

Q: 4. How many 4-digit numbers that are divisible by 10 can be formed from the numbers 3. 5. 7. 8, 9. 0…

A: Discaimer : 12:31Since you have asked multiple question, we will solve the first question for you.…

Q: From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, if five-digit numbers are to be formed and…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any one question We have given…

Q: 10. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: Solve by p and c

Q: 25) How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if…

A: This question is taken from the permutation and combination since the question is multiple hence we…

Q: How many different phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1…

A: Given data: phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1 and…

Q: How many three​-digit numbers may be formed using elements from the set​{1, 2, 3, 4, 5, 6​} if…

A: Given data: Set{1,2,3,4,5,6} To find: Three​-digit numbers  formed using elements from the set​.

Q: How many different​ three-digit numbers can be formed using the digits 4, 5, 2, and 8 with​…

A: The given digits 4,5,2,8.  and repetition allowed

Q: 3. Suppose a landline number contains 5 digits. How many different landline numbers can be made with…

A: As per Bartleby guideline expert have to answer first question only..

Q: In how many ways can a 3-digit number be generated using the digits 1, 2, 3, 4, 5 if

A:

Q: 1..Find the number of words of length 7 using letters from {A,B,C,D,E,F} in which no two consecutive…

A:

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

A:

Q: 3. How many different license plates are possible if a state uses (a) Two letters followed by a…

A: (a).We have  (0,1,2,...,9) 10 digits , and 26  letters (A,B,C,.....,Z). Repetitions of digits and…

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

A: Given: Five couples want to have their pictures taken. In how many ways can they arrange themselves…

Q: 16) How many unique license plate numbers can be created made up of 3 letters (26 possible) followed…

A: The places of letters which are 26 possible can have the following pattern as they can not be…

Q: 5. a) How many different car license plates can be made using-three letters followed by four digits…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: How many four-digit odd numbers less than 5000 can be formed using the digits 2, 3, 4, 5, 6. 6, and…

A: Now here given  digits 2,3,4,5,6,9

Q: How many three-digit numbers can be constructed from the digits 0, 1,2,3,4,5,6,8,9 if the number…

A: Given digits is0, 1, 2, 3, 4, 5, 6, 7, 8, 9Total no.of digits=10

Q: 8. Find the number of different salads consisting of one or more of these vegetables – Tomatoes,…

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

Q: D. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: To solve:Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number…

Q: In how many ways can the digits in the number 2,848,484 be​ arranged?

A: The given number is "2848484". We have to find the number of ways in which the given number can be…

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

A: here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  Three digit number is formed using digit…

Q: 3. How many three digit numbers can be formed from the set 0, 1, 2, 3 .........9 if repetitions are…

A: Here Given Digits  Total Number=10 Here we will use Combination Method for Counting..