From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, if five-digit numbers are to be formed and repetition is not allowed How many numbers can be formed?  How many are even numbers? How many are divisible by 5?

Q: How many different numbers can be formed by various arrangements of the six digits 1, 1, 1, 1, 2, 3

A: Please refer to the solution in next step.

Q: how many integers from 1 to 1000 are multiples of 3 or 5 (or both)

A: We want to find number of integer from 1 to 1000 are multiples of 3 or 5 (or both)

Q: The seven given numbers are: 5, 6, 3, 4, 1, 2, and 7. A. How many five-digit numbers can be formed…

A: Given seven numbers are5,6,3,4,1,2,7

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 6-character license plates are possible if the first character must be a letter that is not…

A:

Q: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: How many numbers of four different digits each greater than 5000 can be formed from the digits 1, 2,…

A: Answer - How many numbers of four different digits each greater than 5000 can be formed from the…

Q: How many 4 digit numbers can be formed using only the digits 1, 2, 3, 4, 5,  6?

A: From the provided information, The digits are 1, 2, 3, 4, 5, 6 that is number of elements (n) = 6

Q: How many different three digit numbers can be formed using the digits 9,6,7,8,5 and 4 with…

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

Q: In how many ways can the numbers from 7 to 10 be arranged three at a time if the numbers can repeat?

A: If we have n numbers and we want to arrange k of them where the numbers can repeat, then the total…

Q: In how many different ways can eight people be seated in a row?

A: Different ways that eight people can sit in a row.

Q: In how many ways can 7 people be seated in a row if only 4 chairs are available?

A: Here 4 chairs are available and 7 people can be seat.

Q: How many 4-diğit humbérš čâh bě fórméd from the digits 1, 3, 5, 6, 8, and 9 if no repetition is allo…

A: Given digits 1, 3, 5, 6, 8 and 9 (Total 6 numbers) We want to find number of 4 digit numbers such…

Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: A four digit numbers can formed using only the digits 1, 2, 3, 4, 5, 6 (no repeated digits), How…

A: Consider a problem in which there are n vacant inline spots, each of the spots are to be filled by…

Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: In how many different ways can ten books be arranged on a shelf?

A: Given that there are ten books available to arrange them in shelf.

Q: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

A:

Q: How many 2 – digit numbers can be formed from the four integers 1, 2, 3, and 4 if repetition is…

A: Given2-digit numbers to be formedNo.of integers =4           (1,2,3,4)

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

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: How many ways can you reorder the eggs in a carton of one dozen eggs? (Enter your answer as a whole…

A: We have to find this How many ways can you reorder the eggs in a carton of one dozen eggs.

Q: How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2 orange marbles…

A: Given problem:- How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2…

Q: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

A: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

Q: How many different 3-digit numbers are possible using only the digits 2,3,5,6 ?

A:

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 4 letter words can be created using the letters in the word COMPLICATED?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: How many different three-digit numbers can be formed using the digits 1, 5, 9, 7, 4, 8, and 6…

A:

Q: d 3?

A: for a 4 digit even number

Q: how many 3-digit number we can form using 10 digits (0,1,2,3.......,8) if no repetition is allowed

A: The first digit have 9 choices (digits 1 -9) as zero cannot be the first digit.There will be 9…

Q: how many odd 3 didgit numbers can be formed from 0,1,2,3,4,5,6 and if each digit can be used once

A: For three digit odd number, the last digit of the number must be odd. Thus, the last digit of the 3…