p1 How many two-digit positive integers with distinct digits satisfy the conditions that
1) neither digit is 0, and
2) the units digit is a multiple of the tens digit?
p2 Mirabel has 47 candies to pass out to a class with n students, where 10≤n<20. After distributing the candy as evenly as possible, she has some candies left over. Find the smallest integer k such that Mirabel could have had k leftover candies.
p3 Callie picks two distinct numbers from {1,2,3,4,5} at random. The probability that the sum of the numbers she picked is greater than the sum of the numbers she didn’t pick is p. p can be expressed as ba for positive integers a,b with gcd(a,b)=1. Find a+b. number theorycombinatoricsYale