How many numbers in the set {1, 2, 3, ..., 346} are divisible by 5 or 7 ?

Q: How many 8-digit numbers can be formed using the following digi without repetition: 1, 2, 3, 4, 5,…

A: Total digits = 1, 2, 3, 4,5,6,7, 8 = 8Number of options for the first digit = 8 Number of options…

Q: Three Players were numbered as 1, 2, and 3. How many teams of two players can be formed? List down…

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Q: How many permutations can be made out of the letters BOOKKEEPER?

A: From the given information, Number of letters in BOOKKEEPER = 10 There is 1 B, 2 O's, 2 K's, 3 E's,…

Q: . How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by…

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Q: in how many different ways can 7 potted plants be arrangesd in row

A: We can arrange n things in n! ways in a row.

Q: In how many ways can 12 people line up in a row? 144 O 12 O 1212 479,001,600

A: Multiplication rule: If there are a ways of doing something and b ways of doing another thing, there…

Q: The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is

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Q: integers

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Q: How many 4-digit numbers can be formed from 0, 1, 3, 5, 7, & 9 if repetition of digits is NOT…

A: Solution-: How many 4-digit numbers can be formed from 0,1,3,5,7 and 9 if repetition of digits is…

Q: How many unordered sets are there of six items chosen from eight? ?sets

A: The different groups that can be formed by choosing r  things from a given set of n different thing…

Q: How many permutations of the 32 letters can be made?

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Q: (a) How many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, and 7, if each digit…

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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?

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Q: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 & 8

Q: 1. How many numbers between 500 and 2100 are: a. Divisible by 3? b. Divisible by 5? c. Divisible by…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: How many integers between 1 and 1000 are divisible by 3, 5, 11, or 13?

A: We have to find the total  integers between 1 and 1000 are divisible by 3, 5, 11, or 13. First find…

Q: 4) Find the number of positive integers not exceeding 1,000 that are not divisible by 3, 5, or 11.

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Q: How many three-digit numbers can be formed under the following condition? The number is at least…

A: We have to find three - digit numbers that can be formed under condition  The number is at least 400…

Q: Ten jokes are listed in a magazine.   If the fourth joke from the magazine is​ excluded, in how…

A: There are 10 jokes listed in a magazine.Here 4th joke is excluded than find the number of ways…

Q: In Connecticut, auto license plates carry 3 digits followed by 3 letters. (Assume the first digit…

A: Since no restrictions are posted it is taken as digits and letters may repeat. Total number of…

Q: How many integers in the set {1,2, ..., 10°} are divisible by 495 and not by 75?

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Q: How many multiples of 6 are in the set {171, 172, 173, ..., 286}?

A: Given set is 171,172,173,174,.......,286. We have to find the number of multiple of 6 in the given…

Q: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

Q: How many numbers between 1 and 1000 are divisible by 12 or 15, or both 12 and 15?

A: We need to find how many numbers between 1 and 1000 are divisible by 12 or 15, or both 12 and 15. To…

Q: 10. How many 6-digit numbers are even or are divisible by 5?

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Q: How many integers greater than 120 but less than 540 are divisible by 5?

A: Given Problem:- How many integers greater than 120 but less than 540 are divisible by 5?

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 different arrangements are there for the eight letters {a, c, f, g, i, t, w, x} ? a. How…

A: a.  since we know the 1st letter is t.  The second letter in the permutation can be choosen in 7…

Q: In how many different ways can five friends sit for a photograph of five chairs in a row? * O 120 O…

A: To find the number of ways in which five friends can sit for a photograph in five chairs in a row.

Q: How many positive numbers less than 300 are divisible by 7 but not 5?

A: We need to find positive numbers less than 300 that are divisible by 7 but not by 5. First count the…

Q: 4.The set of integers from 1 to 10 that is divisible by 3.

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Q: 1. How many numbers between 1000 and 2500 are: a. Divisible by 3? b. Divisible by 7? C. Divisible by…

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Q: How many unordered sets are there of two items chosen from four? ?sets

A: We have to find number of unordered sets of two items chosen from four items.

Q: How many ways are there to draw a heart or queen from a standard deck of 52 cards?

A: Given that 52 cards

Q: How many numbers between 100 and 999 (inclusive) are divisible by neither 4 nor 5?

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Q: How many multiples of 11 are in the set {1, 2, 3, .., 901}?

A: To find the number of multiples of 11 are in the set {1, 2, 3, ..., 901}, we use the following…

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: In how many different ways can 7 potted plants be arranged in a row with 5 spaces? O 720 O 2 520 5…

A: There are total 7 potted plantsThere are 5 spaces in a rowNumber of ways  to arrange 7 potted plants…

Q: How many integers from 1 to 500 are divisible by at least one of  the numbers 3, 4, 5?

A: Given :  Integers from 1 to 500 Total numbers  = 500 So to calculate the number of divisors, we will…

Q: How many elements are contained in the set (1,5)\{1}? 03 04

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Q: How many integers in the range 1 to 100,000 inclusive are divisible by 6, 15 or 21?

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Q: 1. How many numbers between 500 and 2100 are: a. Divisible by 3? b. Divisible by 5? c. Divisible by…

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Q: a. How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit…

A: Part (a) Calculate the number of three digit numbers formed using the letters 0,1,2.3,4,5,6. The…

Q: a) How many three digit numbers are there that are not divisible by 5? b) there are 12 contestants…

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Q: If repetitions are not allowed, how many three digit numbers formed with the digits 0, 1, 2, 3, 4,…

A: Topic = Permutation and combination As per guidelines , at a time only three sub-parts of a question…

Q: Jay has 11 stat books. In how many different ways can he arrange 4 of them on a bookshelf?…

A: Solution: From the given information, total number of stat books is 11.

Q: How many 4 person committees can be made from a group of 25? O 100 O 325 O 12,650 O 390,625

A: The given problem is the problem of combination because the order of the person chosen does not…

Q: How many ways to arrange a 4-digit number, provided that the said number must be even and there are…

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Q: 3. How many three digit numbers can be formed from the set 0, 1, 2, 3 .........9 if repetitions are…

A: Here Given Digits  Total Number=10 Here we will use Combination Method for Counting..