Chapter 10 Counting Methods and Probability - 10.2 Use Combinations and the Binomial Theorem - 10.2 Exercises - Skill Practice - Page 694: 13

$792$

We know that if we want to select $r$ objects out of $n$ disregarding the order, we can do this in $_nC_r=\frac{n!}{r!(n-r)!}$ ways. Here we have $3\cdot4=12$ face cards, thus $n=12$ and $r=5$. Thus, the answer is: $_{12}C_5=\frac{12!}{7!5!}=792$