There are 17,794,900 committees that can be formed with 3 Republicans and 2 Democrats.
Step-by-step explanation:
In order to determine the number of committees that can be formed, we need to consider the available options for each requirement. Since there are 57 Republicans, we can choose 3 Republicans from this group in C(57, 3) = 22,805 ways. Similarly, since there are 40 Democrats, we can choose 2 Democrats from this group in C(40, 2) = 780 ways.
To find the number of committees that can be formed, we need to multiply the number of options for Republicans and Democrats together: 22,805 * 780 = 17,794,900.
Therefore, there are 17,794,900 committees that can be formed with 3 Republicans and 2 Democrats.