Question 2 How many 4-digit numbers in the range 1000-9999 are there such that the digits are distinct?

Q: Question 24 Find the sum of the integers from 1 through 99, inclusive. A 4,950 B 4,955 © 4,945 O…

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Q: PROBLEM 4. Determine the digit 100 places to the right of the decimal point in the decimal…

A: Here ,  727=0.259259259259259259727=0.259¯ The 100th  digit after the decimal repeating part is 259.…

Q: Find the decimal representation for each of the numbers in the given question.   19/11.

A: We have to find the decimal representation for each of the numbers in the given question. A) 1911

Q: In a certain state, license plates each consist of 2 letters followed by 4 digits.  How many…

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Q: Question 32 Given a universal set containing prime numbers between -20 and 20 and composite numbers…

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Q: Question 15 15) How many unique license plate numbers can be created made up of 3 letters (26…

A: The places of letters which are 26 possible can have the following pattern as they can be repeated:…

Q: ... Question 2 / (1.5 Marks) What is the number of ways that 15 people can be seated in a circle?

A: In question, We find the number of ways that 15 people can seated in a circle. The solution is…

Q: Question 9 Ifi have a base 7 number system, what would the maximum value one digit could represent?…

A: We need to find the maximum value  one digit could represent in base 7 number system. the solution…

Q: Use Euler's theorem to Find the last two digits of 172002

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Q: Question 5 Find all integers n >1 such that 1" + 27+...+(n – 1)" is divisible by n. |

A: To find all the integers n>1 such that 1n+2n+...+n-1n is divisible by n Proof: Let…

Q: QUESTION 3 116 Find the remainder when 3'+10 is divided by 11. Attach File Browse My Computer

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Q: Find the decimal representation for each of the numbers in the given question.   22/7

A: Given: 722

Q: Question 9 What is smallest integer that is greater than -10.5? Question 5 What is largest integer…

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Q: Question 7 Show that if a set S of real numbers contains an upper bound b, then b= sup S.

A: Question: Show that if a set S of real numbers contains an upper bound b, then b=sup S. Proof: Let S…

Q: Question 3 Find all four-digit numbers abba with the property da - 106 = abba if a b.

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Q: Question 9: Find the inverse s of -1959 modulo 979 such that 0ss<979. You must show all the detailed…

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Q: QUESTION 2 How many different words can you write using the letters in the word 'COLLEGE' in sSuch…

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Q: How many four-digit combinations can be formed using digits 0 to 9?

A: Total number of digits n=10 Number of digits for combination r=4

Q: Question 1 Find all integers n>1 such that 1" + 2"+...+(n – 1)" is divisible by n.

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Q: QUESTION 9 How many groups of 4 people can you select from 7 people? (Position of people in each…

A: We have given that n = 7 , r = 4 Formula  for Combination nCr = n!/[(n-r)! r!]

Q: QUESTION 5 In a CT lottery, 6 different numbers are chosen from 1 to 44. How many different lottery…

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Q: Use the principle of inclusion–exclusion to find the number of positive integers less than…

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Q: Question 4 Two numbers that multiply to -48 and add to 13 are

A: Let x and y are two numbers and then make two-equation by using giving conditions.

Q: QUESTION 4 Find two integers, x, where -3 < x < 12 such that x =4 mod 6 X = and x = YOU MUST SHOW…

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Q: Find the decimal representation for each of the numbers in the given question. 7/33

A: Given number is 733

Q: Question 2 There are 101 houses on a street. Each house has an address between 1500 and 1699,…

A: This is a simple problem based on simple logic. Let us give a proper explanation to show that two…

Q: Question 10 How many three-digit odd numbers can be formed form the digits 0,1,2,3,4,5, and 6 if…

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Q: Question 5 of 5 Simplify 28

A: Given,

Q: Question 12 of 12, What is the ones digit in the number 3 Hint: Start with smaller exponents to find…

A: We have to find the the ones digit in the given number.

Q: Question 7 Find the product of ( 11110), (111), and 110011001 01001011 o 11010010 o 1100110010

A: to find the product of following binary numbers111102   and 1112

Q: Problem 3: Let B, be the number of compositions of n in which the first part is odd. If n > 1, show…

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Q: How many integers from 1 to 1000 are divisible by at least one of  the numbers 2, 3, 5?

A: Considering integers from 1 to 1000, Total integers  = 1000 Let n(A) represent the integers…

Q: Identify which of the following is the correct value of the number “m” for the hypothesis that “the…

A: Check for k=1 and k=2

Q: Find the decimal representation for each of the numbers in the given question. 5/9

A: Consider the numbers 59

Q: abel

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Q: QUESTION 8 Find the smallest integer greater than 100 that is divisible by 3 but leaves the…

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Q: Question 13 (Show your solutions) (a) How many four-digit numbers can be formed from the digit 0, 1,…

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Q: • Question 7 The league championship 800 meter race has 8 runners. In how many different ways they…

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Q: Question 3 (a) Given that the digit 7,8,9,10, and 11. How many four digits numbers: i. greater than…

A: (a) The given digits are 7, 8, 9, 10, and 11.

Q: Find the decimal representation for each of the numbers in the given question. 16/7

A: To find: The decimal representation of the number 167. Calculation: Divide 16 by 7 to obtain the…

Q: Problem 13 The number 1387 609 is orderly because it has the following propertie- • There are no…

A: Topic - permutation and combination A) we have to  choose 5 odd numbers and 5 even numbers and that…

Q: Question 1 Find all four-digit numbers abba with the property aa 10b= abba if a = b.

A: as given aa·10b=abba  claim- find all four digit numbers if a≠b

Q: Problem 1. Does there exist a natural number n such that 13 (n² + 1)? Prove your assertion.

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Q: Question 3: How many odd 4-digit numbers greater than 3000 can be formed from the digits 1,5, 6, 7,…

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Q: What can you learn on chapter 3 of Ian Stewart's Nature's Number?

A: We learn on chapter 3 of Ian Stewart's Nature's Number about history of mathematics.

Q: 10. A small population of 27 birds on an island are marked so that each individual can be…

A: Combination

Q: Question 1 How many CHB should be use using fundamental method? Enter whole number only

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Q: Question 4 What is the values of 0.65841235 0.8742561893 682 o 1716 862 1176

A: We have to find sum

Q: Question 4 Define the binary operation * on the set of rational numbers as : a*b = ab + a - b.…

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