How many ways can you draw 4 cards from a deck of 52 cards? Verify your answer using the calculator.

Order does not matter because, no matter how the cards are drawn, you still end with the same hand.

Choose a combination of 4 cards from 52.

There are 270 725 ways to draw four cards from a deck of 52.

 

In Lesson 2C, you learned about various conditions that occur in a permutation problems. Combinations problems involve similar conditions. For example, you can have objects in assigned positions, grouped together, or repeated. These are all examples of AND conditions . To solve, you must multiply the number of ways each task can occur in the problem. The next example explores this further.

 

Read page 114-115 Example 3 in your textbook, Principles of Mathematics 12 .

Complete the Your Turn question on page 115 for practice solving problems using the combination formula.

Click here to verify your answers .

 

The solution for example 3b shows the following steps:

Several steps are missing in this simplification. Show these steps.