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Use the triangle below and go to row 3. Click on element number 3 in this row. What is the value? How does it compare to 3C2?

 

Row

0

1

2

3

4

5

6

7

Lets try another combination.

Use the triangle above and go to row 6. Click on element number 5 in this row. What is the value? How does it compare to 6C4?

For Step B, you should see the relationship between these combinations and Pascal's Triangle. Make a conjecture. Evaluate nC r for several other values of n and r and use the triangle to check your conjecture.