# Alphabet Soup (Or Not)

Suppose a=1, b=2, … i=9, j = 1+0, k = 1+1, l = 1+2… s = 1+9, t = 2+0… z = 2+6

If the values of each letter are written on separate sheets of paper, and two are randomly drawn, what is the probability the the product will be a multiple of 14?

When the fraction (probability) is reduced to simplest form (numerator and denominator are relatively prime), find the product of the numerator and denominator

Clarification

When a sheet of paper is removed, it is replenished for the second picking.