(a) How many possibilities are there to give 30 identical cookies to 4 kids? (b) How many possibilities are there to give 30 identical cookies to 4 kids if you make sure that each kids gets at least one cookie? (c) Now you give 30 cookies to 40 kids. Because demand exceeds supply, you give at most one cookie to each kid. How many possibilities do you have? Write solution in terms of binomial coefficients. No justification needed.