Please, put the process of the calculation and formula.

1 Suppose that in a place there are 5 banks and 100 households.

How many ways can we pick a bank and household for this region?

2 How many ways can we choose 3 desserts from a menu of 5?

3 Suppose that there are 9 men and 8 women, how many ways can

we choose a committee that has 2 men and 3 women.

4 Jo is 70% sure that she forgot her textbook at the library or

canteen. She is 40% sure that it is at the library and 30% sure that it is at the canteen.

Given that Jo already went to the canteen and noticed her textbook was not there, what

is the probability that the textbook is at the library?

5 Jasmine wants to take BEA111 or BEA140. She knows that

for students taking BEA111, the probability that they get an A is 4/5. The probability

of getting an A given that the student takes BEA140 is 1/7. If Jasmine makes a random

decision on the unit she will take, what is probability of 'getting an A in BEA140'?