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Mathematics LibreTexts

7.7.1: Binomial Theorem (Exercises)

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Use the Binomial Theorem to do the following problems.

  1. Expand (a+b)5.
  1. Expand (ab)6.
  1. Expand (x2y)5.
  1. Expand (2x3y)4.
  1. Find the third term of (2x3y)6.
  1. Find the sixth term of (5x+y)8.
  1. Find the coefficient of the x3y4 term in the expansion of (2x+y)7.
  1. Find the coefficient of the a4b6 term in the expansion of (3ab)10.
  1. A coin is tossed 5 times, in how many ways is it possible to get three heads and two tails?
  1. A coin is tossed 10 times, in how many ways is it possible to get seven heads and three tails?
  1. How many subsets are there of a set that has 6 elements?
  1. How many subsets are there of a set that has n elements?

This page titled 7.7.1: Binomial Theorem (Exercises) is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Rupinder Sekhon and Roberta Bloom via source content that was edited to the style and standards of the LibreTexts platform.

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