You randomly select 5 CDs from a CD collection consisting of 3 Jazz CDs, 4 Rock CDs and 3 Classical CDs. What is the probability that your selection contains exactly 2 Jazz CDs and 3 Rock CDs?
You randomly select 5 CDs from a CD collection consisting of 3 Jazz CDs, 4 Rock CDs and 3 Classical CDs. What is the probability that your selection contains exactly 2 Jazz CDs and 3 Rock CDs?
There are $\displaystyle \binom{10}{5}$ to select the five CD's.
There are $\displaystyle \binom{3}{2}\binom{4}{3}$ ways to select two jazz CD's and three rock CD'd.