Binomial Coefficient: Formula & Examples


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question 1 of 3

Find C(10,4).

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1. A group of 5 friends decided to go to the beach, but when they got near the water they realized all their beach chairs were still in the car! Three people would be enough to carry all the chairs. How many ways could 3 of the 5 friends be chosen as the beach chair recovery team?

2. How many different 6-card hands are there? (Remember, there are 52 cards in the deck.)

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About This Quiz & Worksheet

These assessments will test your ability to find binomial coefficients, the number of ways to form an unordered group of items chosen from a group of distinct items. Quiz questions will ask you to find binomial coefficients with various notations utilizing the binomial coefficient formula, Pascal's triangle and factorials.

Quiz & Worksheet Goals

In these practice assessments you'll be tested over your ability to:

  • Find binomial coefficients using the formula, Pascal's triangle and factorials
  • Understand the different binomial coefficient notations
  • Evaluate factorials with the binomial coefficient formula

Skills Practiced

This worksheet and quiz will help you practice the following comprehension skills:

  • Reading comprehension - ensure that you draw the most important information from the related algebra lesson
  • Problem solving - use acquired knowledge to solve practice problems involving binomial coefficients, fractals and Pascal's triangle
  • Knowledge application - use your knowledge to answer questions to calculate possible outcomes of unordered collections of items

Additional Learning

To learn more about binomial coefficients, you can review the related lesson called Binomial Coefficient: Formula & Examples. This algebra lesson will help you accomplish the following objectives:

  • Recall what a binomial coefficient is
  • Explore using the binomial formula for finding the number
  • Define factorial
  • Discover how to use pascal's triangle to find binomial coefficients
  • Look at examples of a binomial coefficient