Question

Homework: 3.44 of 15 (3 compleScore: 0 of 1 pt3.4.9Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation)38 C3

Answer 1

Let's begin by identifying key information given to us:

`\begin{gathered} ^(38)C_3=(38!)/(3!\cdot(38-3)!) \\ ^(38)C_3=(38!)/(3!35!)=(38*37*36)/(3!*35!) \\ ^(38)C_3=(38*37*36)/(3*2*1)=(50,616)/(6) \\ ^(38)C_3=8,436 \end{gathered}`