Binomial Coefficient
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Example: how many ways are there to pick a committee of 3 people from a group of 10? Change the values to work out your own case.
Step by step
What each term means
- Binomial Coefficient
- The number of ways to choose 'k' elements from a set of 'n' elements, regardless of order.
- Total Items (n!)
- The factorial of the total number of items available in the set we are choosing from.
- Items Chosen (k!)
- The factorial of the number of items we want to choose from the full set of 'n'.
- Items Not Chosen ((n-k)!)
- The factorial of the number of items left in the set after choosing 'k' of them.