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I didn’t get any single point from common term video lesson in progression topic 

Someone please explain the concept of the problems from the daily classroom session (Data over years) set 2 and set 3 . I am unable to understand 

If Boys pass % - 62
girls pass% - 76
overall pass percentage of class % - 68

Find what percentage of Students in class were Girls?

Name of capital of Canada.

123!  can be written in the form of 4n. how???

number of non-negative integral solutions of

a+b+c+d<=15 ?

any method to know prime numbers quickly

For a given (n,m,k)..

Using values in the range (0..k), how many different m-combos can be made which sum to n?

For example, if (n,m,k) = (3,3,2) there are 7 possible combinations. For (5,4,2) there seem to be 16.

I've been trying to approach this like the binomial formula, stars and bars sort of deal but the k-constraint is puzzling me and I'm not entirely sure of what to do.