Answer:
(a) 4.148 x 10^(12) ways
(b) 5,827,360 ways
Step-by-step explanation:
Number of Demonstrators (D) = 44
Number of Repudiators (R) = 56
(a)
5 senate members must be Repudiators and 5 must be demonstrators, assuming that the order at which they are selected is irrelevant:

(b)
Since there are two different positions, (speaker and vice speaker), order is important in this situation, and the total number of ways to select two senators from each party is:

Let X be the number of hours
Brady drives 60 mph for X number of hours, which is written as 60x.
Mary drives 45 mph for x number of hours, which is written as 45x.
The equation to solve for the number of hours is:
60x + 45x = 1365
Simplify:
105x = 1365
Divide both sides by 105:
x = 1365 / 105
x = 13 hours.