In how many ways can 8 boys and 5 girls be arranged in a circle so that two particular students are not next to each other?

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A: A store sells 6 kinds of donuts  & at least 3 of each kind of donuts are selected. Consider…

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A: The fraction, ab can also be written as a·cb·c , where, c≠0 .

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Q: Benson earned 35 bonus points for every game of trivia in which he had a perfect Score. He earned a…

A: Benson earned 70 points per game not including the bonus points.

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Q: Express the repeating decimal number as a quotient of two integers. 2.36 ... 2.36 = (Simplify your…

A: The given decimal is:2.36¯

Q: Evaluate 8r – rs when r = 6 and s = 5.

A: Given        r=6 , s=5 We have to solve for      8r - rs

Q: Problem Statement n is not prime ⇒ 3k\n k≤√√√n b = kez alb → 316 is True because=2 € Z 4 3 + 4…

A: This problem is proved using the theory of contradiction.

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A: Topic:- fraction  Note:- as per our guideline if more than one question uploaded than only first…

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Q: Which is greater where n > 8?

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Q: 9-3 divided by 1 over 3+1. How do I divide this problem as a fraction?

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A: As per above given conditions, 1 and 4 statement are correct. As detailed in below.

Q: Factorial Is n! same as n+1? If I have n+1 in an equation, can I put n! instead?

A: Since n! = n (n-1)! e.g:- Let n=3  Then n+1 = 4 but n! = n(n-1)! Then 3! = 3×2×1 =6

Q: How did you make the permutation equation. I understand why its a permutatiuon and how you got 11,…

A: Please find the explanation below. Thank you

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A: Given data:- 56=(19-x)+(12-x)+x+8+6+14+3+2

Q: A store sells 6 kinds of donuts. How many ways are there to select 25 donuts if at least 3 of each…

A: Total number of Donuts N Consider  there are N1 donuts of types  1  N2 donuts of types  2 N3 donuts…

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Q: 15. Given that 1+ (3+ nx) = 9+ 84x +..., find the value of n. а. с. 8. b. 7 d. 9 2/3

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Q: Apply Polya’s strategy (work backwards) Melody picks a number. She doubles the number, squares the…

A: Melody picks a number. She doubles the number, squares the result, divides the square by 3, subtract…

Q: Number of ways to give out 3 prizes to 40 people if all the prizes are different.

A: GivenTotal no. of people = 40

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A: At first 1/3 of the children in the room were girls. When 3 boys left, 1/2 of the remaining children…

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Q: Hi,Please help me understand this by writing step by step.Thank you.

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Q: 3. Vertically stretched by a factor of 4, then translated 3 units right.

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Q: Additive property of equality with fractions and mixed numbers   I am unable to solve  v + 4/5= 4…

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.