Complete the details in the proof of the multinomial theorem. Multinomial theorem. For positive integers n, t,
Question:
Multinomial theorem.
For positive integers n, t, the coefficient of x1n1x2n2x3n3 . . . xtnt in the expansion of (x1 + x2 + x3 + . . . + xt)n is
where each ni is an integer with 0 ¤ ni ¤ n, for all 1 ¤ i ¤ t, and n1 + n2 + n3 + . . . + nt = n.
Transcribed Image Text:
п! ni!n2! n3! n,!
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 78% (14 reviews)
1 2 15 1 n112 ...View the full answer
Answered By
Asim farooq
I have done MS finance and expertise in the field of Accounting, finance, cost accounting, security analysis and portfolio management and management, MS office is at my fingertips, I want my client to take advantage of my practical knowledge. I have been mentoring my client on a freelancer website from last two years, Currently I am working in Telecom company as a financial analyst and before that working as an accountant with Pepsi for one year. I also join a nonprofit organization as a finance assistant to my job duties are making payment to client after tax calculation, I have started my professional career from teaching I was teaching to a master's level student for two years in the evening.
My Expert Service
Financial accounting, Financial management, Cost accounting, Human resource management, Business communication and report writing. Financial accounting : • Journal entries • Financial statements including balance sheet, Profit & Loss account, Cash flow statement • Adjustment entries • Ratio analysis • Accounting concepts • Single entry accounting • Double entry accounting • Bills of exchange • Bank reconciliation statements Cost accounting : • Budgeting • Job order costing • Process costing • Cost of goods sold Financial management : • Capital budgeting • Net Present Value (NPV) • Internal Rate of Return (IRR) • Payback period • Discounted cash flows • Financial analysis • Capital assets pricing model • Simple interest, Compound interest & annuities
4.40+
65+ Reviews
86+ Question Solved
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Question Posted:
Students also viewed these Linear Algebra questions
-
For positive integers n, r show that lFr ntr 1 21 /n n t r n tr /n n+ 2 F7
-
Complete the proof of Theorem 5.1.
-
Complete the proof of Theorem 9.5.2. Fo -/2
-
Ebbers Corporation overstated its ending inventory balance by $15,000 in the current year. What impact will this error have on cost of goods sold and gross profit in the current year and following...
-
The Riverton Police Department has eight patrol cars that are on constant call 24 hours per day. A patrol car requires repairs every 30 days, on average, according to an exponential distribution....
-
a. How would you describe the culture of Siemens before Kleinfelds appointment as CEO? b. Kleinfelds leadership style was criticized as being brash and American. Is that a fair assessment? Why or why...
-
The rocket shown in Fig. P5.61 is held stationary by the horizontal force, \(F_{x}\), and the vertical force, \(F_{z}\). The velocity and pressure of the exhaust gas are \(5000 \mathrm{ft} /...
-
The following information about the payroll for the week ended December 30 was obtained from the records of Arnsparger Equipment Co.: Tax rates assumed: Social security, 6% Medicare, 1.5% State...
-
Suppose that there is a bond with 12 years left to maturity. The face value of the bond is $1,000. Coupon rate is 15%, and YTM is 12%. Coupons are paid semiannually. What is the price that you are...
-
If Michigan Lottery would like to give the annuity option an equal chance of being selected, how would it have to structure its payments?
-
Determine the coefficient of x9y3 in the expansions of (a) (x + y)12 (b) (x + 2y)12 (c) (2x - 3y)12.
-
Determine the coefficient of (a) xyz2 in (x + y + z)4 (b) xyz2 in (w + x + y + z)4 (c) xyz2 in (2x - y - z)4 (d) xyz-2 in (x - 2y + 3z-1)4 (e) w3x2yz2 in (2w - x + 3y - 2z)8
-
Your manager is confused by Big Data. Explain what makes big datadifferent than data.
-
Describe and discuss the Borda count voting method.
-
Consider the map of airline routes shown in Figure 16.5. Figure 16. 5 a. Fill in the blanks in the following zero-one matrix representing the airline routes: b. Write a matrix showing the number of...
-
Assume that Sydney in Problem 57 is a cat instead of a dog, and assume that cats age four times as quickly as humans. Using this assumption, when will Karen and Sydney be "the same age"? Data from...
-
A party punch bowl contains 5 quarts containing 20\% 7-UP, and the host wants to change it to a \(30 \%\) 7-UP solution. How much of the punch must be replaced with 7-UP to accomplish this task?
-
A candy maker mixes chocolate, milk, and mint extract to produce three kinds of candy (I, II, and III) with the following proportions: I: \(7 \mathrm{lb}\) chocolate, 5 gal milk, \(1 \mathrm{oz}\)...
-
Write the formula found in the previous exercise as an equivalent equation with base e. Express the exponent to five significant digits.
-
How has the globalization of firms affected the diversity of their employees? Why has increased diversity put an additional burden on accounting systems?
-
Find the domain. (a) f(x) = 1 - x / x - | x | (b) f(x) = (x - 9x-1)-1
-
Discuss why the graph of f (x) = - 3 / 5 x + 4 is steeper than the graph of g(x) = 1 / 2 x - 6.
-
Find the intercepts and then graph the line. (a) 2x - 3y = 6 (b) 10 - 5x = 2y
-
Whatare basis of the segmentation? How would you improve on this strategy in marketing ? What are the basis of the segmentation? How would you improve on this strategy?
-
Jimmy has a bond with a $1,000 face value and a coupon rate of 9.5% paid semiannually. It has a five-year life. a) If investors are willing to accept a 14 percent rate of return on bonds of similar...
-
A zero-coupon bond that will pay $1,050 in 12 years is selling today for $441.91. What interest rate does the bond offer?
Study smarter with the SolutionInn App