In the expansion of (x+y)",the general term is t = ₁**.The Binomial Theorem14. The numerical coefficient of the middle term in the expansion of (5x2 + y) ¹0 is1010 C4 5410 C5 5510 6 5610 C5 5 10<< Prev NextTECHNICAL SUPPORTQuestions or comments about SmarterMarks? Email us at support@smartermarks.com.2022 SmarterMarks Inc. All rights reserved. Use of this site constitutes acceptance of our User Agreement and Privacy Policyhp

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Answered: mial Theorem umerical coefficient of…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.6: Binomial Theorem

Problem 2SE: What role do binomial coefficients play in a binomial expansion? Are they restricted to any type of...

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What is the Binomial Theorem and what is its use?
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What role do binomial coefficients play in a binomial expansion? Are they restricted to any type of number?
Suppose you let x and y be equal to -1 and 1, respectively, in the binomial theorem which gives you equation 1 seen in attached picture. This equation can then be manipulated into equation 2 in attached picture. Prove this using combinatorics (essentially explain why the odd subsets has the same amount as the even subsets)
Find the coefficient of x8y6 in the expansion of (2x2-5y3)6 by using the Binomial theorem. Explain the process
Without expanding completely, compute the indicated term(s) in the expansion of the given binomial expression.
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4 Suppose we have 3000 identical sheets separated into packs of 25 sheets each. Use generating functions to calculate the number of ways in which you can distribute the packs of 25 sheets among four groups of students so that each group has at least 150 sheets and more than 1000 sheets. Express your answer using binomial coefficients and include the calculations made. Explain your solution in detail.
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mial Theorem umerical coefficient of the middle C₁ 54 C5-55 C6 56 C5 5 10