9514 1404 393
Answer:
see attached
Step-by-step explanation:
The formula for nCk is ...
nCk = n!/(k!(n -k)!)
It always works out that nC0 = 1 and nC1 = n, and the sequence of numbers across a row of the diagram is symmetrical about the center.
This means you only need to calculate one value to finish filling your diagram.
4C2 = 4!/(2!(2!)) = (4·3)/(2·1) = 6
You will find the pattern to be ...
each element in the diagram is the sum of the two above it.
