3. Let k, m, n ∈ N such that k < n. Use a shortest-paths argument to find a formula for the number of increasing functions from f : [m] → [n] such that f(x) < x + k for all x. Your answer should have the form (a choose b) - (c choose d)

Terri makes a quilt using three sizes of fabric squares the side lenght of each fabric square is the square root of the area

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

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