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Chapter 9: Problem 60

Evaluate \(_{n} C_{r}\) using a graphing utility. $$_{50} C_{6}$$

Short Answer

Expert verified
The graphing utility will yield the solution to the combination \(_{50}C_{6}\). Be sure to understand how the utility computes this value.

Step by step solution

01

Understanding the Combination Formula

The combination formula, \(_{n}C_{r} = \frac{n!}{r!(n-r)!}\) where \(n\) is the total number of items, \(r\) is the number of items to choose, and \(!\) denotes factorial which is the product of an integer and all the integers below it, down to 1.
02

Input Combination into Graphing Utility

Go into your graphing utility and input the combination formula. In this case, input \(_{50}C_{6}\) into the utility.
03

Run the Computation

After inputting the formula, run the computation in the utility. This will provide the value of the combination.

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