Problem 60 - Algebra and Trigonometry Real Mathematics, Real People

Question

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

Step-by-Step Solution

Answer

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

Step 1: 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.

Step 2: 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.

Step 3: Run the Computation

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