Problem 4 [15 pts]: Counting Back From Break For each of these problems, write down the permutation/combination expression and then sim- plify to a final number. i. How many numbers between 1 and 10000 have the digits 1,3, and 5 such that each digit appears exactly once? For instance, 4135 and 1350 are valid numbers. However, 1135 and 7250 are not valid numbers. Finally, leading zeroes do not add digits. So 0135 is a 3 digit number. ii. How many numbers between 1 and 10000 have digits that sum to 15? For example, 78, 96, 2364, and 8007 are all valid numbers. Again, leading zeroes do not add digits