.76 How many six-digit numbers with different digits belonging to the set ${0,1,2,3,4,5,5}$ and simultaneously: (a) divisible by 5 b) divisible by $25 ?

Q: How many integers from 1 to 700 (inclusive) are divisible by the factors of 70 greater than 1?

A:

Q: 3.73 How many seven-digit numbers with different digits belonging to the set ${3,4,5,6,7,8,9}$ and…

A:

Q: Think about the three-digit numbers that can be formed from the digits 1, 2, 3, 4 and 5 without…

A: Solution

Q: Fermat's theorem is not true for composite number. Select one: O True O False

A: Ans :  true

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: 7. What is (54), in the Hexadecimal number system? a. (20) 16 b. (2D) 16 C. (C2) 16

A: Given: The decimal number is 54.

Q: How many integers in {1, 2,..., 100} are not divisible by 7 or 5? (Give the exact number)

A: Find the number of integers in 1,2,...,100 which are not divisible by 7 or 5.

Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

A:

Q: 7. Put the following numbers in increasing order, use the number line if needed: - 1.3, 4, , -5, -…

A: (8) solution: Given number: -1.3,4,7/2,-5,-1,0.23

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: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not…

A:

Q: Complete the expanded notation for 48,765. 48,765 = ( |x 10,000) +

A:

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 5-digit numbers (including leading 0s)are there with no digit appearing exactly two times?

A:

Q: How many integers in {1,2, 3, ..., 99, 100} are not divisible by 7? (Give the exact number)

A: The given set of numbers is, 1,2,3,.....,99,100 The total no.of numbers from 1 to 100 is, 100 The…

Q: How many compositions of 75 are there into 15 odd parts (a1,..., a15)?

A:

Q: 2. Write the following decimal numbers in expanded form: a. 100,200,300,400 1x100000000000+ b.…

A:

Q: How many integers between 1000 and 9999 inclusive are not divisible by 5?

A: The number of integers from 1 and 9999 which are divisible by 5 is = [9999 ÷ 5] = [1,999.8] = 1999…

Q: How many numbers between 3000 and 4000, with distinct digits, can be formed using the    digits 1,…

A:

Q: How many integers between 100 and 999 inclusive are multiples of 13?

A:

Q: In how many distinct ways can a 18-digit number be made using nine 9's and nine 9's?

A: We have to find the distinct ways a 18-digit number be made using nine 9's and nine 9's.

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: 4.) Mr. Mitchell lost 10 pounds over the summer by jogging each week. By winter time, he had gained…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

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: Express the number 7,970 in scientific notation. ... 7,970 =O (Use scientific notation. Use the…

A: Given number is 7,970. We have to express the number 7,970 in scientific notation. Scientific…

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 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: How many three digit numbers (values between 100 and 999 inclusive) are divisible by four? How many…

A:

Q: Use the following sets: A={Factors of 50} B={odd numbers} Which elements are found in An B? 25 07…

A: The information provided in the question are as follows : A and B are two sets such that,  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: