Syd chooses two different primes, and multiplies them. If both primes are greater than $20$, and the resulting product is less than $2000$, then how many different products could Syd have ended up with?
(23, 29, 31, 37, 41, 43, 47)
He could choose any pair except the last two
So
C(7,2) - 1 = 20 different products
+1859 
