draw Young diagrams for partitions of 2 through 5 into exactly two parts. Then formulate a formula for the number of partitions of n into exactly two parts, p2(n).  this is a math problem from combinatorics

Q: Without doing any computation, explain why C(10, 4)+C(10, 5) = C(11, 5). Hint: Suppose that a…

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Q: What would be the degrees of freedom for a chi-square table that has an independent variable with 2…

A: Here given that independent variable with 2 groups and a dependent variable with 2 groups.

Q: 1.) Create and solve one equal group problem.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 28…

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Q: How many comparisons are needed for a binary search in a set of 64 elements?

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Q: Create an example of a permutation and a combination (one of each) and use them to communicate the…

A: Solution: Robert wants to color his three triangles with different colors. He has a total of 12…

Q: Create a box-grid with 10 rows and 9 columns (eg. using google Sheets) and, starting from the upper…

A: We will use basic knowledge of number theory to answer this question in google sheets.

Q: There is a factory that makes widgets in different colors. The production time for each color is…

A: Given: Here are the given story's summary, The factory in question makes widgets in two colors -…

Q: In the first part of this question, I’m asking you to give a background situation for the…

A: Solution: The formulae for the combination is  nCr= n!r!×(n-r)!

Q: selected from a group of 11 Republicans and for Democrats. Find the number of ways of obtaining a…

A: Given that   Committee consists of members (r) = 7 Committee need to be selected from group of 11…

Q: Geraldo multiplies the decimals 0.84 x 0.55 using a calculator and gets the answer 0.462. He is…

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Q: Write the following in terms of factorials. 1. number of arrangements in a row of 8 objects taken 6…

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Q: How many numbers between 1 and 100,000 can be divided by 24?

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Q: The author explains Why We Place Extra Zeros on Some Lines …. In the Standard Algorithm for 45 × 23,…

A: We place a 0 to make the 90 becomes 900 because according to our standard number system and…

Q: How many different ways can the ranks for the three of a kind and the pair in a full house hands be…

A: Selecting the rank for the three of a kind: There are 13 ranks in a standard deck of cards (2, 3, 4,…

Q: 8(r, s, a) = {(3r, (s – 1)/3,a+r) if 3| (s – 1) (3r, (s – 2)/3,a+ 2r) otherwise. 2. Verify the…

A: For the input x=5 and y=10, the initial state must be (5,10,0). The following sequence of states…

Q: Find the g.c.d of the numbers 2,045 and 910 using Euclidian Algorithm.

A: Using Euclidean Algorithm: Dividing 2045 by 910, the remainder is 225. Now dividing 910 by 225, the…

Q: In the following, find the quotient and remander according to the division algorithm, when n is…

A: (a) n=42, m=9 The objective is to find the quotient and remainder using division algorithm. The…

Q: 13.) A biologist is attempting to classify 52,000 species of insects by assigning a sequence of 3…

A: Given: A biologist have to classify 52000 species

Q: This is a combinatorics math counting problem: Suppose you are playing a game of Yahtzee. You know…

A: The main objective is to find the number of possible ways of roll full house under the given…