In Lesson 3 you looked at combinations. Do you think there could be a connection between combinations and Pascal’s triangle? In Try This 3 you will explore whether there is a relationship between combinations and Pascal’s triangle.
TABLE OF COMBINATIONS
Combination |
Value |
0C0 |
1 |
1C0 |
1 |
1C1 |
1 |
2C0 |
1 |
2C1 |
2 |
2C2 |
1 |
3C0 |
1 |
3C1 |
3 |
3C2 |
3 |
3C3 |
1 |
4C0 |
1 |
4C1 |
4 |
4C2 |
6 |
4C3 |
4 |
4C4 |
1 |
Save your responses in your course folder.
With a partner or group, discuss the following question based on the information in Try This 3.
Compare the strategies you thought of to determine the terms of the expansion of (x + y)n.
If required, save a record of your discussion in your course folder.