How many odd four-digit numbers in which all digits are different can be formed from the digits $1,2,3,4,5,6,7 ?

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

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Q: 8. How many numbers between 1 and 200 are divisible by 2 or 5?

A: The given problem is to find the how many numbers between 1 and 200 are divisible by 2 or 5.

Q: . How many are greater than 330 in a group of 3 digit numbers forme d 5 where digit (s) may be…

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Q: 10. If n is a negative integer, then 1- n² is an integer for how many values of n? (A) None (B) One…

A: Simple calculation problem...

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed d. how…

A: The given digits are 0, 1, 6, 7, 8, and 9.

Q: Select 8 different numbers from {1, 2, 14). Show that you can find at least three pairs of numbers…

A: To show that you can find at least three pairs of numbers with the same positive difference from the…

Q: 1. What integer best represents the net loss in yards if a football team lost 3 yards on each of…

A: Calculate the net loss in yards. This is the integer that best represents the net loss .

Q: How many different numbers which contain from thr an be formed from the digits A, B, C, D and E. and…

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Q: 4. How many different 9-digit numbers can be formed by using the digits in the number 277,728,788?

A: Given numbers  277,728,788 Here we need to evaluate many different 9-digit numbers that can form by…

Q: 5. Find a test similar to those in the previous questions for divisibility by 99.

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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: How many different 7-digit telephone numbers contain three 5s, two 2s and two 1s?

A: Our aim is to find the how many different 7-digit telephone numbers contain three 5s, two 2s and two…

Q: 3. Suppose we want to create a three-digit number. We are allowed to use the digits 0, 1, 3, 4, 6,…

A: We want to create a three digit number.   We are allowed to use the digits 0,1,3,4,6,7 and 9…

Q: Question * How many three-digit numbers can be made from the digits 0,1, 2, 3 and 4, used at most…

A: In the modern era of technology and digitization, the field of data science has become increasingly…

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: 27. How many 3-digit odd numbers can be formed from 0, 1, 2, and 4 if the digits cannot be repeated?…

A: To find- How many 3-digit odd numbers can be formed from 0, 1,2, and 4 if the digits cannot be…

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

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Q: How many odd integers from 1,000 through 9,999 have distinct digits?

A: From 1000 to 9999 , all are 4 digited integers.  If the integer is odd then the last digit can occur…

Q: How many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if the number is odd and…

A: numbers: {3,2,7,6,0,4,9} make 4 digit numbers  no repeatation odd numbers: last digit must be odd.…

Q: C. How many 4-digits number can be formed out of 0, 1, 2, 4, 6, 8, 9 to construct an odd number with…

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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: 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: In how many ways number of 2 digits can be formed out of the four digits 1, 2, 3 and 4? Select one:…

A: The given four digits are 1,2,3,4. We need to form a two digited number with the given 4 digits.

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 integers between 10000 and 1000000 have no digits other than 5, 7 or 9. How many have no…

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Q: 2. Find out how many distinct three- digit numbers can be formed using all the digits of 1, 2, and…

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Q: 11. How many 7-digit numbers are even or have exactly three digits equal to 0?

A: let X be the set of 7-digit even numbers.

Q: 1. How many numbers less than 10,000 are not multiples of 2, 3 or 5?

A: A number is said to be divisible by other number when the number can be divided equally by that…

Q: How many 3-digit numbers with digits in {1,..., 9} (repeats allowed) are divisible by 9?

A: Given digits are 1,2,3,4,5,6,7,8,9. Make three digit numbers using the given digits. To find: The…

Q: 2. Find out how many distinct three- digit numbers can be formed using all the digits of 1, 2, and…

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Q: 31. How many two digit combination can be formed using digits from 0 to 9? * 041 0 43 0 45 0 47

A: To find: Two digit combination formed using digits from 0 to 9. Formula used: Crn=n!n-r! r!…