What is smallest number of eggs that could be shared equally by 2, 3, 4 or 5 people with 1 being left over each time?

Question

Let |X| denote the number of elements in a set X. Let S={1,2,3,4,5,6} be a sample space, where each element is equally likely to occur. If A and B are independent events associated with S, then the number of ordered pairs (A, B) such that 1 ≤ |B| < |A|, equals ______.

Answer 1

61 eggs......