find the sum of all even intergers less than 1000 that are exactly divisible by 7

Q: How many compositions of n are there into k parts of size at least 3?

A: How many compositions of n are there into k parts of size at least 3?

Q: plz solve q4

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Q: Compute the sum of the first 60 positive integers that are exactly divisible by 4.

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Q: For sufficiently lazpe n en ns n Zus (en n)

A: According to this question, we know that

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A: A = an = 2n =  ( 1,2,4,8,16 . . .  ) is an increasing sequence of positive integer. 1 = 1  2 = 2 3 =…

Q: Suppose a set of 8 numbers are selected from the set: {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}…

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Q: How many 5-digit even numbers can be formed using the digits 2, 4, 6, 7, 9 if no repetition is…

A: Given:

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A: Any triple of integers (i, j, k) with 2 ≤ i ≤ j ≤ k ≤ 16 can berepresented as a string of 15 – 1…

Q: A bag contains 4 each of red, blue, green, and yellow balls. How manyways are there to select 8 so…

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Q: Find all three-digit numbers with different digits with the property that those numbers are…

A: Let N=100a+10b+c represent all the three-digit numbers, for some digits, a, b and c. Then,…

Q: How many mombers between 50 and 200 can be expressed as 4k-1, where k is an integer?

A:

Q: Find: The sum of all positive integers less than 400 which are not divisible by 5.

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Q: Determine the smallest integer that can be expressed as a sum of two primes in three different ways

A: Let us have smallest prime numbers  are, 2,3,5,7,11,13 17,19.....

Q: Find the number of permutations without replacement that can be created by drawing 5 balls from a…

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Q: Compute the sum of all integers between 40 and 100 that are exactly divisible by 3.

A: Compute the sum of all integers between 40 and 100 that are exactly divisible by 3.

Q: Suppose 82 jelly beans are distributed among 9 kids, with some kids possibly getting none. Fill in…

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Q: that every Positive integer Written as a Sum the fibonacci Sequence Prove can be OF of distinct…

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Q: Find the sum of all integers that are multiples of 3 from 4 to 100.

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Q: In how many ways can 25 identical donuts be distributedto four police officers so that each officer…

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Q: Compute the sum of the first 50 positive integers that are exactly divisible by 5.

A: To determine sum of the first 50 positive integers that are exactly divisible by 5.

Q: How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n > 2…

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Q: Find the total possible number of 5 letter words such that they are alphabetically first in the…

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Q: Find the sum of all positive integers, from 5 to 1555 inclusive, that are divisible by 5.

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Q: Show that the number of partitions of n in which odd parts are not repeated but even parts can occur…

A: Let n=4 Then number of partitions of n=4 in which odd parts are not repeated but even parts can…

Q: How many pairs of two distinct integers chosen from the set {1, 2, 3, 101} have a sum that is even?

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Q: How many words can be formed by permutation of the letters of the word DEPRESSION such that each…

A: Given word DEPRESSION We have to calculate No. Of words such that obtained word does not contain 2…

Q: 5. Find the number of positive integers less than 700 that are divisible by 3 but not divisible by…

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Q: compute the sum of all integers between 60 and 110 that are exactly divisible by 7

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Q: how many positive intergers less than 1150 are multiples of 8, 5, 3. using the principles of…

A: Floor Function: The floor function , also called the greatest integer function or integer value,…

Q: Show that n! > 3 for n ≥ 7

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

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Q: Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many…

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Q: Find the average of the first 50 natural numbers is……………….

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Q: ) How many,8-distinct/digit numbers can be formed if the numbers áre amultiple of/5 and contain the…

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Q: Determine the smallest integer that can be expressed as a sum of two primes in three different ways.

A: The number is 22 and all others smallest integer can not be written as sum of two primes in three…

Q: find the sum of all integers between 300 and 800 that are exactly divisible by 14

A:

Q: How many sequences of 6 positive digits (1-9) contain at least one digit that appears twice?

A: We have to determine the total sequences of 6 positive digits (1-9) that contain at least one digit…

Q: Find the sum of the first 80 positive even intergers.

A: Sum of the arithmetic progression with for n terms where a1 is the first term and an is the last…

Q: Find the sum of all  natural numbers between 250 and 1000 which are exactly divisible

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Q: 5 divides n -n whenever

A: