How 10-element multisets can be made from the symbols {a,b,c,d}? many O 720 O 286 O 120 O 24

Q: What two whole-number powers of 2 does 23 come between? 13 Lower power: 14 Higher power Answer 1:

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Q: 15) n(n*+5) is divisible by for each integer

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Q: ible by 4 ca

A: The four digit numbers that are divisible by 4 will be when the last two digit is divisible by 4.…

Q: How many 8-character passwords can be made using the letters A through Z if repeats are not allowed?…

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Q: 3. Consider a set of numbers B = {n E Z|1<n< 900} Answer the following questions. (a) How many…

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Q: 8) The number 4050 can be factored into prime divisors as: 2 x 3 x 3 x 3 x 3 x 5 x 5 a) Determine…

A: We have to solve

Q: If N =30 -1. Is N is divisible by 125?

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Q: How many five-digit numbers are there with different digits and simultaneously: a) divisible by 4 b)…

A: For the number to be divisible by 4, the last two digits must be a multiple of 4.Hence The last two…

Q: Find n. P(n, 2) = 20 2 4 10 In how many ways can 7 keys be arranged in a key ring? 5040 2520 360 720…

A: GivenP(n,2)=20

Q: 7. How many numbers from 1 to 600 are divisible by 3, 7, or 11? Show your work and explain in…

A: There are total 288 such numbers.

Q: How many 4-digit number can be formed with the digits 5,2,3,0,4,6 and 7 which are divisible by 5 and…

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Q: Suppose that a local area network requires eleven letters for user names. Lower- and uppercase…

A: Given information- We have given that the local area network requires 11 letters for the user name.…

Q: In how many ways can 9 students be arranged in a row if 3 particular students must always be grouped…

A: Given that  9 students are arranged in a row. 3 Particular students are always be grouped together.…

Q: 23. The number of different groups of four letters that can be made from the letters of the word…

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

Q: How many ways can a DVD collection of 12 different movies be arranged in alphabetical order on a…

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Q: 19. How many different arrangements are there of the letters AAAABBCCC? O 1260 920 1024 O 1430

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Q: 32) If the letters A, B, C, D, E, and F are to be used in a five-letter code, how many different…

A: Given that  The letters A,B,C,D,E and F are to be used in a five letter code. Total letters = 6…

Q: a) How many unique ways can you rearrange letters in the word 'bookkeeper'? b) How many 10-character…

A: We have to find number of arrangements of given word.

Q: How many 4-digit numbers in the range 1000-9999 are there such that the digits are distinct? A…

A: Givennumbers range should be in 1000-9999Total no.of number in 0-9 = 10

Q: How many different 8-character codes can be made by scrambling the symbols %, %, %, %, &, &, #, #? O…

A: Total number of symbols (n) = 8 Here, '%' is repeated 4 times (a) , '&amp;' is repeated 2 times (b),…

Q: How many three-digit numbers with different digits are divisible by: a) 25 b) $4 ?$

A: We have to find how many three digit numbers are divisible by: 25 4

Q: If mis divisible by 9 and 4, then mis divisible by 12.

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Q: PRODD 2 Determine whether the integer 701 is divisors. Do the same for the integer 1 Sieve of

A: Theorem for prime numbers: A number p is called prime number if there exist a number p0 such that,…

Q: If n is a natural number, the number 34n+4 – 43n+3 is divisible by: -

A: Given : To find : A positive number which can divide above expression

Q: The greatest common divisor of a and a +5 is a. 5 Ob None O. 1 or a ed. l or 5 Oe. 1

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Q: Q6. In how many way, can a manager .arrange 16 employees into 8 groups 756756 O 168168000 O 63063000

A: Given,total no.of employees=16

Q: 6. How many integers from 1 through 100 must you pick in order to be sure of getting one that is…

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Q: 14. Find the greatest common divisor of the numbers. 140 and 595 The greatest common divisor of 140…

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

Q: Suppose that n=24.35.112.133. How many divisors does n have?

A: Given,  n = 24 35 112 133 Then (4+1)(5+1)(2+1)(3+1) = 5×6×3×4=360 It has 360 number of divisors

Q: what are ALL the six-digit numbers of the form 47_8_6 that are divisible by 24?

A: The six-digit number has form 47__8__6

Q: 5. In how many ways can you arrange 7 plants in a row? * 270 540 720 5040 6. Find the number of…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: a) Find how many numbers in A are not divisible by 13 and 7. (b) Find the number of subsets B C A…

A: Given that                       A=1, 2, . . . , 999

Q: a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the…

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

Q: What is the greatest common divisor of 24 and 44? n If n is a natural number such that gcd(800, n) =…

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Q: Determine a number that is divisible by 2, 4, 6, 7, and 8. ... Which of the following numbers is…

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Q: n how many unique ways can we rearrange the letters in the word COEFFICIENT?

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Q: Arne, Bob, and Chuck have reserved three seats in a row at the theater, starting at an aisle seat.…

A: Given problem Given that   Arne , Bob and Chuck have reserved three seats in a row at the theatre.…

Q: 25.07 is divisible by what?

A: IF ANY NUMBER HAS FACTORS MORE THAN TWO THEN IT IS CALLED A COMPOSITE NUMBER.

Q: How many different 3-digit numbers can be formed from the digits 1, 3, 4, 5, 6, 7,9 if repetition of…

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Q: How many permutations of the letters of the word HEAVEN are there if the vowels are to be written…

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Q: In how many ways can one arrange the letters AAAAAABBBBBBBBCCCCDDDDD? Note: There are 6 A's, 8 B's,…

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Q: How many 6 digit numbers are divisible by 5? Assume repetition is allowed. 12000 180000 60000 200000

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Q: . How many four-digit numbers are there with different digits and simultaneously: (a) divisible by…

A: Given: Total number of digits = 10 (0 to 9) Number of digits in a number = 4

Q: How many negative divisors has the integer 90?

A: The divisors of 90 are all the numbers that we can evenly divide into 90.

Q: 100! + 101! +.…...200! is divisible by 11 Select one: O True False

A: True

Q: In how many distinct ways can the letters in COMMISERATE be arranged' 9,979,200 8,280,140 1,030,984…

A: The word COMMISERATE contains 11 letters.This has 11 letters of which E occurs 2 times, M occurs 2…

Q: a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the…

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Q: Arne, Bob, and Chuck have reserved three seats in a row at the theater, starting at an aisle seat.…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: How many 8-character passwords can be made using the letters A through Z if repeats are not allowed?…

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Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10