Discrete Math: What is the coefficeint of a²b³cª in the expansion of(a + 26 + 3c)º ?

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What is the coefficeint of a²b³cª in the expansion of (a + 2b + 3c)® ?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

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Discrete Math:

What is the coefficeint of a²b³cª in the expansion of
(a + 26 + 3c)º ?

Expert Solution

Step 1

In the given question we have to find the coefficient of $a^{2} b^{3} c^{4}$ in expansion of ${(a + 2 b + 3 c)}^{9}$

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$Continuous Probability Distribution$

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