Learning Resources

Investigation 12: Constructing Pascal's Triangle & Investigation 13: Pascal's Triangle and Combinations

Test yourself (Answers)

The first element in row 9 is ₉C₀. However, there is no need to evaluate this
because the first element in every row is 1.

The second element in row 9 is ₉C₁. You can evaluate this if you wish, but one pattern you should have noticed is that the second element in every row is the same as the row number. Thus this element is 9.

The third element in row 9 is ₉C₂. We have to evaluate this in the usual way

The first three elements in row 9 are thus 1, 9, 36

2. The sixth element in row 10 is ₁₀C₆. Evaluate this in the usual way.

The sixth element in row 10 is 210.